IM Alg2.2.10 Lesson: Multiplicity
What do you notice? What do you wonder?
[table][tr][td][math]y=(x-3)^2[/math][/td][td][math]y=\left(x+1\right)\left(x-3\right)^2[/math][/td][/tr][tr][td][img]data:image/png;base64,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[/img][/td][td][img]data:image/png;base64,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[/img][/td][/tr][tr][td][math]y=(x-3)^3[/math][/td][td][math]y=(x-6)(x-3)^2[/math][/td][/tr][tr][td][img]data:image/png;base64,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[/img][br][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table]
For polynomial A:
[math]A(x)=(x+2)(x-2)(x-8)[/math][br][size=150]Write the degree, all zeros, and complete the sentence about the end behavior.[/size][br][br]Degree: Zeros: [br]End behavior: As x gets larger and larger in the negative direction,
Sketch a possible graph.
Check your sketch.
For polynomial B:
[math]B(x)=\text{-}(x+2)(x-2)^2[/math][br][size=150]Write the degree, all zeros, and complete the sentence about the end behavior.[/size][br][br]Degree: Zeros: [br]End behavior: As x gets larger and larger in the negative direction,
Sketch a possible graph.
Check your sketch.
For polynomial C:
[math]C(x)=(x+6)(x+2)^2[/math][br][size=150]Write the degree, all zeros, and complete the sentence about the end behavior.[/size][br][br]Degree: Zeros: [br]End behavior: As x gets larger and larger in the negative direction,
Sketch a possible graph.
Check your sketch.
For polynomial D:
[math]D(x)=\text{-}(x+6)^2(x+2)[/math][br][size=150]Write the degree, all zeros, and complete the sentence about the end behavior.[/size][br][br]Degree: Zeros: [br]End behavior: As x gets larger and larger in the negative direction,
Sketch a possible graph.
Check your sketch.
For polynomial E:
[size=150][math]E(x)=(x+4)(x-2)^3[/math][br]Write the degree, all zeros, and complete the sentence about the end behavior.[/size][br][br]Degree: Zeros: [br]End behavior: As x gets larger and larger in the negative direction,
Sketch a possible graph.
Check your sketch.
For polynomial F:
[size=150][math]F(x)=x^3(x+4)(x-3)^2[/math][br]Write the degree, all zeros, and complete the sentence about the end behavior.[/size][br][br]Degree: Zeros: [br]End behavior: As x gets larger and larger in the negative direction,
Sketch a possible graph.
Check your sketch.
[i]Pause here for your teacher to check your work.[br][/i][br]Create your own polynomial for your partner to figure out.[list][*]Create a polynomial with degree greater than 2 and less than 8 and write the equation in the space given.[/*][*]Trade papers with a partner, then fill out the information about their polynomial and complete a sketch.[/*][*]Trade papers back. Check your partner’s sketch using graphing technology.[/*][/list]
Fill out this information about your partner's polynomial:[br][list][*]Degree: [/*][*]Zeros: [/*][*]End behavior: As [math]x[/math] gets larger and larger in the negative direction, [/*][/list]
Sketch your partner's polynomial.
Check your partner's sketch.
Sketch a graph for a polynomial function [math]y=f(x)[/math] that has 3 different zeros and [math]f(x)\ge0[/math] for all values of [math]x[/math].
What is a possible equation for the polynomial?
Use graphing technology to see if your equation matches your sketch.
What is a possible equation for the polynomial?
What is a possible equation of a polynomial function that has degree 5 but whose graph has exactly three horizontal intercepts and crosses the [math]x[/math]-axis at all three intercepts? Explain why it is not possible to have a polynomial function that has degree 4 with this property.
IM Alg2.2.10 Practice: Multiplicity
Draw a rough sketch of the graph of g(x).
Draw a rough sketch of the graph of f(x).
Predict the end behavior of the polynomial function A(x).
[math]A(x)=(x+3)(x-4)(3x-7)(4x-3)[/math]
Check your prediction.
Predict the end behavior of the polynomial function B(x).
[math]B(x)=(3-x)^2(6-x)[/math]
Check your prediction.
Predict the end behavior of the polynomial function C(x).
[math]C(x)=\text{-}(4-3x)(x^4)[/math]
Check your prediction.
Predict the end behavior of the polynomial function D(x).
[math]D(x)=(6-x)^6[/math]
Check your prediction.
[size=150]Which term can be added to the polynomial expression [math]5x^7-6x^6+4x^4-4x^2[/math] to make it into a 10th degree polynomial?[/size]
[size=150][math]f(x)=(x+1)(x-6)[/math] and [math]g(x)=2(x+1)(x-6)[/math]. The graphs of each are shown.[/size][br][img]data:image/png;base64,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[/img][br][br]Which graph represents which polynomial function? Explain how you know.[br]
State the degree and end behavior of [math]f(x)=8x^3+2x^4-5x^2+9.[/math] Explain or show your reasoning in the app below.
[size=150]The graph of a polynomial function is shown.[/size][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAASMAAAElCAYAAACveYQwAAAgAElEQVR4Ae2dzcslRxWHQzLOqKgzuAiCkOQPUGc2isFRhyx0JXkFNxI0WYm4MX7gB4oJuHCTmGzcuNAQwQgiDrPRgOAoKOhGRFwZEEFxowiihtnY8tx4Zvret2+/Xd1VXedU/wqae2/f6vr4nVNPV1VXd9/VKUgBKSAFHChwl4MyqAhSQApIgU4wkhNIASngQgHByIUZVAgpIAUEI/nAJAX+8Y9/dM8888ykuIokBeYoIBjNUa2BY7797W93d9112vxPPPFEd/HixQ749APxH3jggf4ufZcCWRU47Y1Zk1diXhX46U9/uoPRH//4x9tFBECXLl3qAM9hePjhh3fxf/Ob3xz+pd9SIIsCglEWGeMlAnjoGQElC/SK7r//fvt5+9PiEv+Tn/zk7f36IgVyKiAY5VQzWFoMx6wXRA8J2NjvflXYx39s9913X/8vfZcC2RQQjLJJGS+h9773vR29IcKjjz7a8XsoMES7++67bwNJQ7UhlbRvqQKC0VIFAx8PgNisV9Qfslm1+kM06x1pqGbq6DOnAoJRTjWDpUWviN7QWK+oP0QzGGmoFszQQYorGAUxVIli/vCHP+yuXLmyG371r6r187KraPfee2937tw5DdX64uh7VgUEo6xyxkqMuR96O/SMhoIN0d7ylrd0X/jCF7oLFy7sJrg5RkO1IcW0b4kCgtES9YIfS8+IK2rHekUM0S5fvrxbAPnkk0/uYESV2T+0BCC4HCp+ZQUEo8oGqJU9vR5WVNvVtKFy8B/xCH0Y8Rsg6arakGraN1cBwWiuckGPAyA3b97czRXR6xkLBiLiHMKIff3/x9LRf1JgigKC0RSVGorDXA9DLOaJUmAyBKOGZFFVHCggGDkwQoQiCEYRrBS7jIJRbPutVnrBaDWpN5uRYLRZ06dVXDBK00ux0xUQjNI12+QRgtEmzb5qpQWjVeWOm5lgFNd2UUouGEWxVOVyCkaVDbCB7AWjDRg5RxUFoxwqKo0xBQSjMXX0320FBKPbUuhLIQUEo0LCtpasYNSaRf3VRzDyZxOXJRKMXJqlqUIJRk2Zs1xlBKNy2irlVxQQjOQJkxQQjCbJpEgLFBCMFoi3pUMFoy1Zu05dBaM6uq+aK3fqX7t2bW9LfRaRYLSqyTaZmWC0AbPz0P1nnnlm98JG3gDClvL4ECQSjDbgKJWrKBhVNsAa2fPM6mOPlp2av2A0VSnFm6uAYDRXuUDHAaOlQTBaqqCOP0uB5V56Vg76v7oCwKg/ZzT0ssZ+IW/dutX95S9/2ds+85nPdOfPn9/bZ3H6x+q7FJirgGA0V7lAxzFZbXNFPEifN4LweSwAo69+9at720MPPbR7b9rh/hs3bhxLRvulQJICglGSXG1EZjKbSe2UoGFailqKO0cBwWiOasGP4X1pglFwIzZYfMGoQaP2qzR0CR8Qjb0vrX+8fVfPyJTQZykFBKNSyjpJl7kiXtZoE9h8f/jhh5NLJxglS6YDEhUQjBIFixidNUY2gZ268trqKxiZEvospYBgVErZxtIVjBozqMPqCEYOjeKxSIKRR6u0VSbBqC17FquNYFRMWiX8fwUEI7nCJAUEo0kyKdICBQSjBeJt6VDBaEvWrlNXwehAd648Xb9+fffIDBog27PPPtvdvHkz+bEbB0mH/ikYdR1XIod8Y+4VytAOUaDwglHX7SADcK5cudJxU+nYxnqd5557bnNg2iqMWBLx2GOP7dZqjfnFpUuXdvGIrzBPgc3DiEaGI+Fo9hCywzMdq5hxMlYtX758+TascNKlzwmaZ7b1j9oajDjhsEAUv+DG4kcffXR3c/GQb3B7DU/TJB7xOWFtxS9yeuJmYYSzWE+IFckpzkPcvvM9/vjjzfeUtgIjwGIQ4uTE75TATchAiRMcvW2F6QpsEkac3XAWnCbV2frS0mMCSpwNSY+zaauhdRhxgjk5OdnZkt7vkuEWfsEJDr+g96wwTYHNwYjn+AAOHG7oJtJpsu3HwpE5i+J8OHSudPdzqfurZRiZT3ByomeTK5Cu+USuNFtOZ1MwokeEc+QEUd85+l30JWfWfppevrcII04a1hviZFLiJGJAUg/pbE/eDIxsaFYKRCY1vSTyAHo04FZCazDCH2xuKGdvaMjeAtKQKqf3bQJGnPGYrL7//vuLnP1Oy9rtrr5YF73EGXcoz5L7WoIR84QM1fEHoLRG4Eos/gCYFIYV2ASM6IozH7CW45nUdkYEhPSYIodWYEQ9gEKpYdmYjZnUBoJr++FYmTz91zyM6ILjfKW74seMiuPZpd7ITtgCjJi3wRdYM1Qj0EOmN8bJSeG0Ak3DiN4IZyLOgjWDzSNRliVLCXLUASACltQQGUZAgIWIHoZJXNigHKmP/U21V8T4TcPIhmcehkg0CJvYrjVv0C9DqrNGhRF1tsWttXQ/1NrWpkXuKR/WKcfvZmFkZ6Baw7Mh49AwGCLUOkMzZ2ENYah8Y/siwoiTECCqMV84piV+QJnorSncUaBZGHHZlvG5x2BA4jaStQLDQ4arBunUfKPBiF4Hw2JvIDLd7eJG7WG7lcfDZ5MwMkN7XnhoQFpjMRw9BMDM5xZg5B1E1vA5OXDSVHhFgSZhhIFrT1pPcTAbMpUGElrYGXgKjHi99Sc+8Ym97e1vf3t3zz337O0jjrfXWxuISi9unWLfs+KYLbzMZZ1V3tL/NwejCL2ivlGtvKWAxJxZ/1K2NYB+GQ6///e//+0ONxumHe7nt5cQCUSmmXpHpkTXNQcjD5fy78g77VtJIDFZziQuk6VsdmWJ7ylnZIPRtBqtHysiiFDJTg4ptlhf3XVybApG1qgxcLRgZc/dQ0KL/maLQNmXsuTBM4zQjpNQhKHZkF+qd/SKKk3BKMpc0ZBDss+ARK+Fy78lAhCit5QavMLINIsKIuxgNrF5vVTbtBI/3Sud1hxD0siiG7R046I3NGf1r0cYldZqTVfnaicnoS2HZmCEIb2uK0p1MGtkzO+U6iGllskbjEwjFnJ60ShV0358qw9zX1sNTcCIs32tVc2lHIeuOwv2vADJE4ys4favEpayw5rpYu/W6pSiXxMwYr0OhmzhDNk3HmdJL0DyAqNWQYTd8WMm4lvz475Pj31vAkYYsNUzSh9INbvwHmDElUZ6wK3a2nr4nu6nHINH7v/Cw8jOlDUbam6jHKZnQAK6tepZG0atg8hsvuXL/OFhxMQ1l3VbD0CIetYCUk0YGYg48bQetnByPWbD0DDaWreWuQQD0toNswaMqK+tGF+7vscaTOn91Jl5QuaPthZCw8hWEwOlrQScla782lcP14YRNgVENMzoa8dSfZM5MXrAWwuhYYSzss5kiwGHBUi5bx85puWaMGJISmMERLXmyI7psMb+VhbwpmoVFkY46dq9g1RxS8e319+UvH3E6rAWjBiOASKGo1vq8ZrO9skC3lavGlodDz/DwsieBcSwZcuBxmtrkUr2ItaAEU++5ATTyqrqJX5pa46WpBHt2LAw4qbYrQ7RDp0MCHEmpUdRaqK3JIw4odC7A0RbnLg9tCe/ree/pfmykDAyQ5VqeEPO4X1ff2KbHkbuHmMpGHHbi80PbanhTfGnrQ3VQsLIrqLlbnBTHMR7HJtHYnI/57CtBIxsWLb1+aFjPrW1oVpIGG35Ktoxx+3vp7fBWZVhDxDJEXLCCEhiQw3Lxi2ztecchYORLXTUEG3ckek12iQ/DR/HXhJywIgyWW8IWC4t05L6RDmWixNbuaoWDkY2RNvyZd+UhtTvJV29erX73ve+l3L47bhLYfTcc8/t5oboDTGU1BD7trSjXwDRVl5nFA5GXEFjjkFhmgLAiAlieiIXLlzYDY3e+MY3dr/97W+nJfD/WHNhBIRoTECIleM6iSTJvlt9jnY55//SSrBe7FAw4mxqZ9b1JIqdE5oZAPhOr4T3n6Ejq7enDpVSYEQ+zz777B6EpuYTW+38pd+Sz4eCkS2T38JZIr9b30nxXe96166XwnwEUKLnwlzOmK5nwYhGQy/o5ORklybp0osVhO7oPvcbPUrm/VoPoWDE+JnhhsJ8BZhzA0LWWwLwQAN4sDGkAyjA5/r1693Nmzd3cfswYh8bvR8gZlfGOB770Puy9OeXVEeaAluZJw0FI87gW7myYI6Y67MPm6HFhfRs2M8VuLe97W234WTHHfu89957dzCjwYz1rHLVY4vpAHb0b/0KchgY4ehbMEjpxgZw6BmNOfatW7e6P//5z92LL77Yff/7399tDz744G6u6etf//rtfcRhUyivAD3O1k/EYWBkXVXO4ArLFABEzEOkhP4wLeU4xc2jACBiCN1yCAMjXdLP54aAXTDKp+caKXECYWTQ8lA4DIwwhO7oTnd7hmVMNNuksy0+HJo3GktdPaMxdcr/Z5f4OZG0GkLAiMvDwEiXidPdkDMpXXx6QmwAfc7ZVTBK1z73ESz2ZYTQaggBI7sTvVUjRKiXYFTfSnavYf2SlClBCBjZWb2MBEp1igKC0RSVysZpfYQQAkYM0egdKdRTQDCqp30/55bbgnsYtX426Dua5++CkQ/rtDxKcA8jzRf5aASCkQ87tNwe3MOo5TOBD/eeVgrBaJpOpWO1PFJwD6OWx8ilHTdn+oJRTjXnp2XrjVqcQ3UNo5bPAvPdsc6RglEd3YdyZb0RI4bWgmsYtTw+juZIgpEfi7HeqMX71FzDSPej+WkAgpEfW3ArD9MXc1bS+6nF6ZK4hhH01/1op41WY49gVEP14Tzt+Uat3afmFkZQH/qn3tA5bD7tXaqAYLRUwbzHt/h8I7cwskcm6PGleZ14bmqC0VzlyhzHzc+tvcLILYwQW8+7LuPIc1IVjOaoVu6YFh826BZGet51OUeek7JgNEe1cse0OI3hEka2sKu1Cbpyrlk+ZcGovMapObS2INgljLTYMdUty8cXjMprnJpDa7dKuYSRFjumuuXx+PQyAQnLJJiD45PfqUEwSlWsfPzW2olLGLVG/PJueTwH5hZYqwWUCFyd5FVFqQvmBKPjGtf6p7XFjy5hpMWOZd0b2KfeaCkYlbXJnNRt8ePYO/DmpFvrGHcwak3gWoYdy5cbLVMXkwpGY4rW+49ebit3KbiDUWtdz3puOpwzZ1FgNBZ4o+y3vvWtve3k5KQ7d+7c3j7i3LhxYywp/VdYAe7fvHLlSuFc1kneHYwYPkB7hfwKME/EJPZZ80XA6Ne//vXe9rGPfaw7f/783j6Lk7+kSnGqAi1NYruDkSavp7phWrypIDqWqoZpx5Spu7+lZTDuYKTJ6/zOvRRElEgwym+XHCm2tEDYFYw0eZ3DPffTAEQAvv+Ka3vV9X7M8V+C0bg+Nf9t5Q5+VzDS5HV+l7Y5BW4dONxSchOMUtRaN24rk9iuYGQNZ11TKrcpCghGU1SqE6eVduMKRpq8ruPMU3IVjKaoVCeOTWKfdZW0Tumm5+oKRpq8nm64tWMKRmsrPj2/VuZa3cCoFUGnu1CsmIKRb3u1sBLbDYw0ee3b2QUj3/ZpYYrDDYxamYTz7bLzSycYzddujSNbaD9uYKR3pK3hsvPzEIzma7fGkS2MLNzASM+8XsNl5+chGM3Xbo0juZIW/dVebmDU2vN813DANfMQjNZUe15e0duQCxjZOgk+FXwqIBj5tEu/VNEnsV3AqMV3QPWdpIXvgpF/K0Z/saMLGPGkOj3DyLezC0a+7UPpop/UXcAoevfSv5suL6FgtFzD0ilEn+5wAaPoE2+lncxD+oKRByuMlyH6s42qw0i3gYw7mJd/BSMvlhgvB882ivqA/uowsq5l9DuOx10k/r+CUQwbRp7yqA6jFpaxx3DTZaUUjJbpt9bRtCeefhExVIcRlyPPenVORGG9lZn5BF43NPeFf4KRN4sOlwf7MgfL9Ee0UB1GdCu5L02hnAIMhZlLAPqcOecEwWiOausfY9MefEYL1WGkK2nlXYbeJ3NygEgwKq937RyitqmqMGrh5r7ajpeSv2CUolbcuFHfFlIVRi089iCSy06FEW+U/fGPf7y3feQjH+le9apX7e2zOJE02EJZo15RqwojGgddSoV1FEiB0fXr17v+9uEPf3gHo/4+vt+4cWOdwiuXyQpEbVdVSaAHqk32rywRp8JoKDNNYA+p4nNf1CtqVWF05coVXUlb0Z8FoxXFrphV1CtqVWEUdda/op8tylowWiRfqIMjtq1qMLJ70pjEVlhHAcFoHZ095BLxHrVqMIralfTgaDXKoDmjGqrPzzPiFbVqMOIsrStp851t7SMFo7UVX5Yfd+5Hu0etGoxYFUxXUiGGAoJRDDtZKSM+9bEajCJ2I83QW/wUjGJZPeI0SDUY0YVkqKYQQwHBKIadrJT21Me5T2mwdNb8rAIjE4qupEIMBQSjGHbqlzLa5f0qMIrYhewbeYvfBaN4Vo82FVIFRhEn1+K5Yt4SC0Z59VwjtWjvUasCI13WX8MV8+YhGOXVc43UorWzKjCK1n1cw3G85yEYebfQ6fLZdEiUl11UgRE3yNKFVIijgGAUx1ZWUnt4IVCKEKrAKNosfwRDli6jYFRa4TLpR2prq8PIaK0bZMs4X6lUBaNSypZNN9IjaFeHkY1jo3Qdy7pKnNQFozi26pc00vzs6jCKNsPfN+yWvwtGMa0f6YbZ1WGEOBcvXoxp2Q2XWjCKaXxb0xeh9JNh9K9//atjWxrW6DbmKuvSuk45nrL+5z//mRK1apxIMIpm/xzt6phz5JoWWUPTyTD63e9+133jG984VufJ+x944IGO3lHJ8Pzzz3e//OUvS2aRLe1Pf/rTglE2NV9J6IUXXuh+9rOfZU61THKf+9znun/+859lEu+63WuuuaK29ILRSy+91D311FPFyknCq8NojUuNglF+n4nUMxKM9u2fo81NhRE9MTobcxZargqjXF3GfalP/xKMTmuydI9gtFTB4eNL94zI9fLly4vfwjMVRuRnr0q67777uscff3wymKrAaA41h005vFcwGtZlyV7BaIl6x49dA0Y55mlTYERt7ao5vTK2KWBKgtH73ve+7otf/OLs7erVq7uCLUljyrEf+MAHuo9+9KOzyzklj1xx3vGOd3Sf/exn3Zf13e9+d3fPPfe4Lyd24eWgjzzySIiyvvOd7+yYN8zlT0Pp0O5e/epXL8rj4x//ePfQQw8lpfHWt751194NSPYJmDi58YagfkiCEas5eULj3O3ChQvd3XffPfv4qfm+9rWv7V73utcVz2dqecbioQlLHcbiePgPZ8aZPJTlrDLI/vtt9DWvec1i273hDW/oSOcs7fv/v/71r9/ly0nMQGSf9iolHrRoIQlGS6+m5eguWsHHPjVMG1Nn3n8aps3T7ayj1him5ZirTR2mMRVjMDIAvfnNbx6d3F4VRmtc1sf4gtFZTSD9f8EoXbMpR6wBoxwvTE2BESCitw+EABJP6ACIZ4VVYUThmNgqHQSj/AoLRvk1JcU1YEQ+S9veVBgBIrs5N3Vt02owopAIklrAOS4gGM1RbfwYwWhcn7n/rgUjA8Tcck6F0ZQe0LEyJMHoRz/60bF0ztyfY9x6Zib/j0A5o6zApqy6HWSqZafFQ9MoK7Apa8kV2KbY0vlaYERZ5wSGiTdv3jx1KEzoX1GbDKNTKSXusHUHiYcpuhMFIvWMnEjmqhisimbOtkawOStGRxbgAfNK1WCku/XNFPE+BaN4NuuXuHZngJ6ZPWqaqRpY0IcTZV2tZ7S0m9gXVt/XV0AwWl/znDnaNMkhAHLmMZYW+QMgPlmLNPSm29VgpIfwj5nK/3+CkX8bjZXQLiABg1rBFk0fu6K+GoyWXlqsJaDyfUUBwSi+J9Rug9ywSxn6q677qi6G0bGE+5nYBNZQ16wfr/T3KWUtXYap6dc8gw2VMRKMsHOt4ciQdmP71vRJhknHeiVjZeQ/yrmkrMwXASN6R8fKMAtGwOWxxx7bUY65ICp57dq1o4WlYUHEGg3MykoZEePYePUsY6z1PwY/OTnZ6bVWnlPyiQIjIMRVI/zSa6jlk3PmbXlsLXoCETa+p7Zj4EP7w7fpkBy7qjcLRiRKIY2UfFLRY8Sz55tghLUDzklZLdjYuUZZrAzHPikbc2voCLw9hQgwws9oMNjbM4yO+ST7SwaeZoB/pQQ07bcVtOWEPjVY27e6wQrAxP7DkM3jaUDHHMBb46KcqXQ/FK7EbwxlK9QFo3SFcXgaDrY95ovpqa5zxBo+maMd4qNTfZO4APAQPABt6NHTWWBEphD3MFMzo40X7XfNT8oK2fu0r1meY3lPNfix43Pvj9AzsjpHhBG9Bes9WD1yf1ovhTYwNwCRUqBfBCMKxVwRY8BjIKLSxCtVgVRROTtAa+9BMJpvoWgwGhtVzFfh9JHogl/xmRJo29bOacdLYDaW7x6M/va3v3Vj21//+te9tKgUG92uY+NADqAnMtQt20ss4cfLL788Wk7qMBQQlUnsUmIO5fniiy92P/nJT0a3oeMEoyFVpu3DJ72c/M4q8Zo+yWgAv7KpgLPKZv/b0Jfj0BUwlQi3YfSHP/yh+8pXvjK6Pf3000fLQEGPTWwhAPTPFb7zne+MlpN6HN6Yh9FtRj9XOaak84Mf/KA7axtKRzAaUmXavigwMp8sPTzrq5ajLXKRAI1zh9swWpowhaOxHwaEnkPjw3SW/F7z7LOknP1jBaO+GmnfI8AIn6RRrwkiVCRPu0csTdU7sRldpPau7hx9/NssGGHsfs+DbhwT2ENDMeLSsPisETA6Pbbr16/vyky52dZ2gtS6C0apit2J7x1GNX2SYVbKEJay9qc1bEqmv++O8su+zYYRdKTBsPGdYdhQASl8zYZls/9mBPscAucyKfMeneIwU3PmpME2J0S6msaJxrN9a/okeR9bdDjkF1zsYcRDG+aTXlWpE/ksGA0V+tg+IFUTRsfKtbX99BboIc6du4sEo63ZNqW+nttjcRhB1hJn+RQDbD0uDkjvFVsIRtv2BuZ66BzM7SGXVK84jGxYVLISSntcARv3AyLBaFyr1v+tPYc7pm9xGC0ZGowVXP+lKyAYpWvW2hHM69Iz4gTlLRSHERWfezb2Jlb08kyF0a1bt7q///3ve9vnP//57vz583v7LE50XbZWfq9tsiiMmHWn4rUu67fqZP/+97+7X/3qV6Pbn/70p1PVT4HRl770pa6/vec97+l4TXF/H99v3LhxKh/t8K0A84dL1xqVqGFRGHken5YQc600f//73++62XS1j239dWBWrqkwsvj9T11N66sR+7vXedyiMKq9xii2y+QvvWCUX9OIKdIrSllrtFYdi8II52eYpuBDAcHIhx1ql8JruyxKCta1MD5V8KGADenmlEbDtDmq+TwGP6CT4G2tUVEYeR2b+nQR36USjHzbJ6V0Xudyi8KINUae7xFKMeDW4wpG7XgAPSJ6RiXuvF+iUlEYUWHGpwrxFRCM4tuwXwOPbbMYjLzSt28QfZ+ugGA0XasIMXmukbdRSzEYeR2XRnAUj2UUjDxaZX6ZPM7nFoORzdgPPeNovoQ6spYCglEt5cvky1qj1HeolSnJnVSLwcjrWoY7Vde3FAUEoxS1/Mf12D6LwYjxKONShTYUEIzasKPVwuPdEcVg5HFMaobQZ7oCglG6Zp6P8DinWwxGjEc93hns2UE8l00w8myd9LJtCkYe1zGkm0xHmAKCkSnRzqe3NlqsZ0RFGZcqtKGAYNSGHfu12ASMPHYB+0bQ93QFBKN0zbwfwbwuN7N7CUV6RoKRF/PmK4dglE9LLyl5u8hUBEYeLxt6cYCo5RCMolrueLlTX+h4PKU8/xSBkccFVXnk2m4qglF7tvfWTovASC9ubM9xBaP2bGq3bHl5yFoRGHkbi7bnRmk1YtjMui+unvDs4znPsRGM0jSPENvb3G4RGOHw3h5PEME5SpSR10Wx+NTOfvy+ePFix2dKEIxS1IoR19tjforAyNv6hRiusV4p6bkyX5ASBKMUteLE9dRWs8PI8+tz47hI2ZLykgTmC1KCYJSiVpy49JJTT0ylapcdRt7GoaWEi5ou9pnzNAXBKKrFx8vtaX63GIxS5yTGJdO/ORTAJoDoLNvcunWr+9SnPrW3Pfjgg7vXWx/u1+utc1imXhpNw8jb2oV6Zi6X8wsvvNA98sgjo9vTTz+9VwAAxNtapgzPgNHLL7+8t335y1/uLly4sLfP4uxlpB+hFKC94hceQvaekWDkwaz7ZUgB0f6Rd35pmHZHi5a+eWqv2WGkBY++XNWGZnPWFvVrIhj11WjnO37BFTVb+lGzZtlh5GkMWlNYL3nbmQ+HO9xSyigYpagVJ66nC07ZYaQFj3EcMaWkglGKWnHi0nPmJLW055yjxtlhRMU4Gyu0pYBg1JY9+7Xx0mazwsgWPOoJj31Tt/FdMGrDjkO1aBJGnsafQ6Jr33wFBKP52nk/knleD098zNozEoy8u9388glG87XzfqSXi05ZYaQnPHp3u/nlE4zma+f9SC9PfMwKI7uM7F18lS9dAcEoXbMoR3hpt1lhxHNzuCNcoT0FBKP2bGo1sic+cgGqZsgKIy9jz5qCtpq3YNSqZbvOy1xvVhjpldbtOqxg1K5tm4SRl/UK7bpNvZoJRvW0XyNn2m7t9YFZe0aC0RpuUycPwaiO7mvl6qHtZoOR3eNCl0+hPQUEo/Zs2q8RF564AFUzZIORl3FnTTFbzlswatm6Xefh4lM2GHl6LkrbblOndoJRHd3XytXDc8iywcjLwqm1jLe1fASjti3uof1mhRGvPVFoUwHBqE27Wq2agpGHMacJq899BVhhe+3atd12cnKyW+S2H+PsX4LR2RpFjuFhmiVbz0gw8umKOBnzAXxykQEw0YNNveopGPm0b65SebgAlQ1GetxsLrconw4nDrrlKUEwSlErXlweyM9aI05atUI2GHlYNFVLxGj58iLHKZFBCNsAAAPqSURBVO9P69dLMOqr0eb32m04K4xqLydv00Xy1IqeEEChV8Tza1KDYJSqWLz4TcDIw3gznunXLTEwYoUtMGISe+xxEbxR9qmnntrb3v/+93fnzp3b20ccvd56XTuWzA3fqPn42Sw9I8GopIucTvub3/xmd/Xq1dGN11EfCzjcmNMBo5deemlvozd1/vz5vX0W51g+2h9LAWDEVitkgZEeN1vLfPPyZZIy1ek0TJundaSj6DnzGKBaIQuMPCyYqiWg93yHhmP0ilJvihSMvFt6eflqt+NsMOIKjYI/Bei1suzCFj3ynV7REKTGSi8YjanTxn9NwKj2WLMNVyhXC9aQMK/Hxvc5QTCao1qsY2zul8cB1QhZekaCUQ3TrZunYLSu3jVyMxjxWSNkgZFWX9cw3bp5Ckbr6l0jt9qrsLPAqPZiqRqG21qegtE2LF6zLWeDkVZft+2sglHb9rXahYZR7XGmiajPsgoIRmX19ZI687+pyz5ylX1xz0gwymUK3+kIRr7tk6t0NS9GLYaRl1fj5jKG0hlWQDAa1qW1vSyIBUg1wmIY1V4oVUO0LeYpGG3D6jXbs2C0DR9bXEvBaLGEIRIIDaOa3boQ1m2kkIJRI4Y8oxrcRM0Vtbkr9c9IfvTvxT2jmhNeozXTn1kVEIyyyuk2sZoXpBbDiEcO1LoU6NaiDRZMMGrQqANVqvma+sUwqrlIakBL7SqkgGBUSFiHydZq04KRQ2fwWCTByKNVypQpJIxqdunKmEGpHlNAMDqmTHv7eTbZnJc2LFViUc+o5mTX0orr+DQFBKM0vSLHrnVRKguMaj2MKbLBa5XdXnWdmr9glKpY3PghYVRzgVRcU9crOWtHLl++vFtHkloKwShVsbjxadc8o2ztsKhnJBitba5l+QGiuW9yEYyWaR/p6FrtehGMmOTSg/hjuBkOhr1sni+11IJRqmJx4889YS2t8SIY1RpbLq301o5nTo+TBm8EEYy2Zv30+pqP8LlmWASjD37wgx2bgl8FABDjf7vIYI42VmLeKPvd7353b/vQhz7UXbp0aW8fcfR66zElY/73i1/8onvTm97U8blmWASjNQuqvO4o8Pzzz+9OAnYyGPr82te+tjuAoRlDNAtTYfTzn/+8m7pZ2vqUAksUEIyWqBfgWFbTHtv6kApQFRWxcQUEo8YNfFi9KT2jw2P0WwqsoYBgtIbKjvIQjBwZQ0XZU0Aw2pOj/R92Ra39mqqG0RQQjKJZTOWVAo0qIBg1alhVSwpEU0AwimYxlVcKNKqAYNSoYVUtKRBNAcEomsVUXinQqAKCUaOGVbWkQDQFBKNoFlN5pUCjCvwPZaK0WnNcTNAAAAAASUVORK5CYII=[/img][br]Select [b]all[/b] the true statements about the polynomial.