1. (a) Define polynomial of one variable.[br]Solution:[br]A polynomial in one variable is any expression of the type [br][math] a_nx^n + a_{n-1} x^{n-1} + … + a_2x^2 + a_1x+a_0, [/math][br]where [math] n [/math] is non-negative integer and [math] a_n, a_{n-1} … a_0 [/math] are real numbers, called coefficients. [math] a_nx^n [/math] is called the leading term of the polynomial. [math] 'n' [/math] is degree of the polynomial. [br][br](b) If [math] p(x), q(x), d(x) [/math] and [math] r(x) [/math] represent polynomial, quotient, divisor and remainder respectively. Write the relation among them.[br]Solution:[br]We know, Polynomial = Divisor x Quotient + Remainder[br][math] \therefore p(x) = d(x) \times q(x) + r(x) [/math] [br][br]2. Divide using long division method and find quotient and remainder in each of the following:[br][br](a) [math] x^2 - 10x + 21 \div (x-3) [/math] [br]Solution:[br][img]data:image/png;base64,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[/img][br]Quotient [math] Q(x) = x- 7 [/math] and remainder [math] (R) = 0 [/math] [br][br](b) [math] x^3 + 2x^2 -5x-6 \div (x+1) [/math] [br]Solution:[br][img]data:image/png;base64,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[/img][br]Quotient [math] Q(x) = x^2 + x -6 [/math] and Remainder [math] (R) = 0 [/math][br][br](c) [math] x^3 - 8 \div (x-2) [/math] [br]Solution:[br][img]data:image/png;base64,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[/img][br]Quotient [math] Q(x) = x^2 + 2x + 4 [/math] and Remainder [math] R = 0 [/math] [br][br](d) [math] x^3+9x^2+27x+27 \div (x+3) [/math] [br]Solution:[br][img]data:image/png;base64,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[/img][br]Quotient [math] Q(x) = x^2+6x+9 [/math] Remainder [math] (R) = 0 [/math][br][br]3. Divide using long division method and find quotient and remainder.[br][br](a) [math] x^3 + 2x^2 -5x -7 \div (x+1) [/math] [br]Solution:[br][img]data:image/png;base64,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[/img][br]Quotient [math] Q(x) = x^2 + x - 6 [/math] and Remainder [math] (R) = - 1 [/math] [br][br](b) [math] x^3 - 10x^2 + 16x + 26 \div (x-5) [/math] [br]Solution:[br][img]data:image/png;base64,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[/img][br]Quotient [math] Q(x) = x^2 - 5x - 9 [/math] and Remainder [math] R = - 19 [/math] [br][br](c) [math] 2x^4+5x^2-3x-7 \div ( 2x-1 ) [/math] [br]Solution:[br][img]data:image/png;base64,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[/img][br][math] \therefore [/math] Quotient [math] Q(x) = x^3 +\frac{1}{2} x^2 + \frac{11}{4} - \frac{1}{8} [/math] and Remainder [math] ( R ) = \frac{-57}{8} [/math] [br][br](d) [math] y^5 +y^3 - y \div (3-y) [/math] [br]Solution:[br][img]data:image/png;base64,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[/img][br][math] \therefore [/math] Quotient [math] Q(y) = -y^4 - 3y^3 - 10y^2 - 30y - 89 [/math] and Remainder [math] ( R ) = 267 [/math][br][br]4. For the function [math] f(y) = y^3 – y^2 – 17y – 15,[/math] use long division to determine whether each of the following is a factor of [math] f(y) [/math] or not.[br][br](a) [math] y + 1 [/math] [br]Solution:[br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOIAAADmCAYAAADIgVnBAAAalUlEQVR4Ae1dbWgVx/sV+uGHiJRAscEPpQhFSilSCkUkSBG/taIigogEG4MgIiXUYAnFSKEiilSRGIRSohQJkRCCaAmKlhJCKJE0ETEiBbFBVEQIJYgUmT9n+59l72ZfZndnZmf3ngf23n2ZneeZM3N23meWCYpVBBYWFsTo6Ki4f/++Vb1U5jYCy9w2r17WPXnyRAwPD4s3b96Irq4uce7cuXoFkKHJjQCJmBu67C9eunRJdHd3ey/+888/orW1NbsnfKOWCJCIFqP15cuX4uHDh55GFE3Xr19vUTtVuYwAiVhS7Ozfv19MT09r1w6CnzhxQpw9e1Zs2bJFXLhwQbsOVQ8fPHjglQAuX77c8MrAwIBn24EDB0RnZ6fYvXu3eP36dYObZrsgEUuIcSTMP/74Q7vmf//91yOh9BjF39WrV4uhoSF5y9r/77//Lq5eveoRDkXyoPz0009i165dYseOHeLYsWMCJYVmFxLRcgpAAkVOAcG5Trlx44Z46623xOTkpO8tEjyOsmT79u0iiohl2eOqXhJRc8wgp+vr6xN//fWX7zOIMT8/7+WCq1at8nIp5FS6CfLq1Stx9OhR8eLFC1/3zp07vaIfbiTZ5r+g+SSOiGg5HhsbM1Iy0BwEK96RiBphfvTokbh165bXT7h3717f540bN4rx8XH/2tYJiqYrVqzwcsiybIsjInJJ1AtRKoCbZhcSUWMKQJ0IgkYI2UiCehvIgBzAtsAO5M6QsmyLImK4TohGpf7+ftvwOKWPRNQcHSAcip/IjSDXrl3zGiyyqEFucfDgwcTj7t27iV5isAAaRYKS1TYddkQRMVhsh30oPaAI3cxCImqOfRS1Nm/e7Pva09MjTp065V/bOAH5cUiRjTdl2BYmIoroy5YtEzMzM9I80d7err2+7HtekRMSUXNEoaugo6PD93XDhg1iYmLCvzZ9ArJhGB0abHDg+vTp057aMmwLExFjbdFlEZS2tjYR7msMPm+GcxJRcyw/ffrUK4qi0QZFw+XLl1urH6LI19LS4uU4yHXkMTg46IXSpm34AKAksGbNGrFp0yavzvz48WPPDnwoRkZGxOLiojh+/Lg4cuSI5lionnckouY4wxA21MWeP3/udaTv2bNHs4b83rlkGz4aaEAK1xfzh67ab5KIGuMP/XTIAdGfB0G3hey816gml1cu25YrQDV7iUTUGKFoKUV9DF96dKxPTU1p9L2YVy7bVixk9XibRDQQj+g7dFVcts1VzGzYRSLaQJk6iEAKAiRiCkB8TARsIEAi2kCZOohACgIkYgpAfEwEbCBAItpAmTqIQAoClSMiOssxjvLKlSviq6++Et9++63AeM6o4+TJk+LMmTO5josXL3rDrjD0KusB227evJn7wKiU2dnZzMfff/8tnj17lnqEZz+kpBE+toBA5YgITDB0TA7fevfdd8WXX37pDSvDdBoeejHAchb79u3LdGD6VdSHUfVeb29vro+n/OieP38+88cz+LHN8yG9c+fOkg/n3NycMoUrSUSE7ocffvDJuHbt2siIR4LImoikeyRAklovqZsRT7lqXxojK0tEBAyrf8mc8ZtvvkkLq7XnmHmuUkSMc4MiZp6iKYq0KkXi69evK+cYKKLLnEb1H1UC1dwvyt3hw4dzf0DxIW1vb3fmI6qaK1aaiJhS89577/lkbPapNNa+NDVXlOdDCsKFP56quSHgrDQREQCM65S54sqVKzmav+YkqWvwKk9ERMzWrVt9MmLuG4UIVA2BWhARc9qwnqfMGVlErVoypL21ICKiEUvYSyK+//771mbFMwkRAR0I1IaImIAriYj/8ApmOsCiH0TAFAK1ISIAQv1QkvGjjz4yhRn9JQLaEagVEbHLkCQi/tGvRiECVUCgVkTEGMogEYPLGlYhMmhj8yJQKyIiGj/99FOfjDaXuseaMBiMHlw412aywuCG0dFRgf0RKdVDoHZEPHTokE9E5I5YX9S0gATff/+9pwaLR/3444+mVTb4/+TJE29RYcxM6erqElhun1ItBGpHRKxmHSyeYiyjaUE/5tdff+2pQa5kex8H7FHR3d3t6UfO3NraajrI9F8zArUjIlaTDhLR5kgb5EjYPMb2MoqoG8txjSiarl+/XnMySfaOK8Ml46Py1Fkiol8QX/k8o2T+97//+WTEuQ3BQGGMe8US8raJGAwfBjZMT08Hb2k7j4sTDDHEHhdyd2L5Lz8O2gxQ8CjORryKVnVMxcL0uM7OTm/2DuLNBbFGRGwrLVfATgs4uh2QqAEail1ZBbsxBXNFRI5JQU4ocwXowoyQMgQfLazobUKS4gSlDiyojL0YcaCOGtyo1YQ9UX4m2Qj3GOSBjwTmmmIjHJdWKrBGRICA+ksWCe8kpPou9psIEhEbnpgU5IL4wkKw0Qtaa20LEqH84ODclITjBDlKcAs46D179mypiTxso8TC5dFWmYhYZA92m0TE7kJBIqJIUlSSwg4CoJEIOf53331nZHhdkn48w+aoq1ev9g589U1JXCKX+n777bclAymSbJfv6fyPsxFpEKWXsbExYyWHvOFQJmLRPdhtEjE8wgYNKEVEJeyIYOREJoo7KvqLhC/Lu3GJHH4AA9l6K/0sw/Y4G5EGUdVBLo64gjtXRJmIqLNBUNHNsz+8TSJi/71gjoilE4pI0bAX0Y13y9YftD8ukcMN6ofAPihl2B5nY/gjiTaI/v7+oLmlnSsTERbii6eyPzwaLtCxHtwHHhV6tOgF74GcSRIHaNI7eIbIDxJRR7+eatiTbCuyJ33Z+mW4kuJk3bp1fj1Vusd/FtuLYCR1xtkY3osRDUo60obUW+Q/ExGRnefdH95mjvjrr782EBERU1SKhL2obrxftn4ZhrhEjkYqfPxAurDYtj3KxvHxcc++4BBElJRM1qfDOCRdZyJikT3YbRIRXSXBHBFFkKJSJOxFdeP9svXLMEQlcjyTpRDpLvhv2/YoGzEMEV0WQWlra8vVTx30Q9d5JiIW2YM9CxHxBY3bf10l4GEifvHFFyqvJbopEvZEjxUflq0/LU5QN8RyJVFiy3YVG9GVtbi46A28QOu6K5KJiBgpgaJHnv3hsxCxKDjhoilGfhSVImEvqhvvl60/LQzoupmYmIh05pLtqCci9w7XFyMNt3hTmYjoCyqyPzzIa0vQwRwsmmIkRREpGvYiuvFu2fqL2F9l24uEO+u7ykSs0h7sKH4EiYgVwYtI2WEvW3+VsStiu813lYkojZJjKuW1i/8Ycxkkohx+VtRW1bCDOCYmCavqd3GSsKrtReOoqu9nJmIVAopO2iART5w4Yc1sThK2BnWtFNWSiMgBg0QcHBy0FmmcJGwN6lopqiUR0Y8UJCK6M2wLWpebcZKwbZzroq+WRPz4448biGh78if0oYm8zpOE60IAV8JROyIiJwrug4Hl920K9MuGiSyThLNMnFYJj8lJwir66SYbArUj4uTkZENuiEnCNiXvJGGdAx4wwsTGJGGbuNZdV+2IGG4x/fnnn7XHITqpMeUnODoDH4D5+XmPABhbmXWScBYiJunHM1uThLUD28Qe1o6IGEUTbKgBOXSKykRXFE+RK4XnvyXZoUpEFf1JevjMTQRqRUQQAOvFSCJ+8skn2lFHIwwk7wTpOINUiWhKf5xdvG8HgVoRMTzrAjM4TAgIrzJBOk43GnOKTJwuqj/OLt4vD4FaETHYkY+WU0y/MSEoduadIB1nj2qOiPdN6I+zi/ftIFAbImKOGWaHyGKpySUQTEx0zUJEE/rtJDdqiUOgNkTE5i+ShPg3udq2iYmuWYhoQn9cAuF9OwjUgoioc2F1bUlEHUtjJMFvYqJrFiKa0J8UXj4zj0AtiBjMDVE3vHfvnjHkTE10VZ04bUq/McDosRIClSfiixcvREtLi58bYqVtk1L2JN2y9ZvEtpn9rjwR0Sgji6SfffZZ5HJ+JiJYjic14beKn2XrV7GRbtQRqDQRgzPx0a+HnXMpRKCKCFSWiKgHrly50ssN8W+ylbSKEUubq4VAJYmIhg1Mb0KRFH2H2IGIQgSqjEAliYgGGczCx4FRJhQiUHUEKknEqoNO+4lAGAESMYwIr4lACQiQiCWATpVEIIxAUxJRxx58YSCzXJetP4utdGsHgaYkoh1oqYUIqCNAIqpjRZdEwBgCJKIxaOkxEVBHgERUx4ouiYAxBEhEY9DSYyKgjgCJqI4VXRIBYwiQiMagpcdEQB0BElEdK7okAsYQIBGNQUuPiYA6AiSiOlZ02cQIYKu9Z8+eJR5Y1Gt2dtY7cJ5FSMQsaFXELfbcSEs08vnc3JyfeGQiivq/c+eOuHnzptJx5coVgdUTVI7z58+LM2fOpB4nT54UPT09Sge2Q9i3b5/Sgb1SsOqfiSMLGWtBxOCXKJiIbt++rTXhqCaa3t5epQSDhKWaaNrb240kFhMJkH7+R+ymIiK2Rtu2bRsTqaGvumlS4QOjknvhg6WaIyL3VMll4ebixYtKOTdy+bQSAZa6lBkBShpZpPI5Ir46phOL9F810Rw+fFh7okFurFLUg5vr16+nJhqZqFDklIkn6R8JSxZn0/5tb5WeJcG76rbyRASwyBWjEhFWdUtLNHjOhONq8mweu2pBxOaJLoa0rgiQiHWNWYarUgiQiJWKLjPGLiwsiNHRUXH//n0zCuhrKgIkYipE9XaAevTw8LC3VUFXV5c4d+5cvQPsaOhIREcjxpZZWD+nu7vbU4cNblpbW22ppp4AAiRiAIxmPMUoHNnxjKLp+vXrrcPADXWEIBGtJzszCkGiEydOiLNnz3r9qhcuXMisaP/+/WJ6ejrzeyovPHjwwMt50c8Zlq1bt3qrtu/atUsED/mBCLs3dZ1k48DAgIcrBhZ0dnaK3bt3a+32IhFNxapFf5GjgIRSUMRcvXq1GBoakrdS/0EQjAwxIdgW4erVq15CRlE4LJs2bRJHjx4VfX193oF66t69e8POjF6n2YgdnfGRwNjUY8eOCZQkdAqJqBPNkvy6ceOGwE7Jk5OTvgUyZ/FvJJwgESI3gJjcSwR7lYSJiMEU165da7AOubruhN6gIOEiykY4BxFNColoEl1Lfr969crLUbB7shRs4IriEwQ5HXIbjECSAtLOz897z7C3JHJQHCCwKYlL5EF92Nkr+DFIsj34nq7zOBtBxDdv3oixsTEjJQcSUVcMOuQPiqYrVqzwcshHjx6JW7duef2EweLexo0bxfj4uFWr4xK5NAIJXbbg4l4ZtsfZCCIiN0cOjg8F3OkUElEnmo74hQYF5IAQ1M0guCcbcFCnBFGR8G1KXCKXNsBm9GlKKcP2OBvDRWVMBOjv75emFv4nEQtDaMYDfH0PHjyYeNy9e3eJcjR0hOszIByKn8gpIaiTISFlkbz2BHXEJXLpZt26dX5dVd7LYrtJG4PFetiG0gWK/7qERNSFpAP+gGDBhg/ZeIOi1ObNm30LMa/v1KlT/rWtkyQiPn361NsBOpxL27Y9ykYU4bE79czMjA8VpsTprE+TiD601T5BgkWxDg02OHB9+vRpL1Doxujo6PADuGHDBjExMeFf2zqJSuRSN4qhSOxhsW17lI0Yi4sui6C0tbV580OD94qcLw15Ed/4bikIoNjU0tLiJWQkZnkMDg569iC3QVEUjTYoti5fvtxq/RAfBeTAa9asEegzRF318ePHDVjhI4IumLDYsj3NRtg3MjIiFhcXxfHjx8WRI0fCpha6JhELwVeNlzFCBUW+58+fe538e/bscc5wdMFE5dIu2Y4PHnLucH1RB5gkog4UHfYD/XDIAZHQIei2kJ33DpvtmVZl27NiSyJmRaxi7tFSiroivuQYRjY1NVWZEFTZ9qwgk4hZEauo+yrPcKiy7arJhURURarG7jhDv/zIJRHLj4NSLeAM/VLh95WTiD4UzXmC0ShyfCfqZJyhX046IBHLwd0ZrS7M0HcGjBINIRFLBF+napdn6OuwTSdWLvpFIroYKxltcnmGvg7bMsJRSeckYiWjrdFol2foF7WtMaT1vSIRaxC3Ls/QT7MN8Nuehe9ilJOILsZKQZvQ+uniDH0EK2gbrsuYhV8QXiOvk4hGYC3XU1dn6AOVoG24LmMWfrmxE62dRIzGpfS7eWebuzxDP8o2AJ1lFn7pEWPIABLRELBleOvyDP0424AT5gK6sIJAGXEmdZKIEomK/yMxuzpDP8k2wG57Fr6LUU0iuhgrGW1yeYZ+mm0Iqq1Z+BlhteqcRLQKdznKXJrlHoWA6/ZF2az7HomoG1HH/HN9lrvr9tmKThLRFtIl6XF9lrvr9tmKNhLRFtKa9GDImFx/JouXuma559WfZqsu+9L0uPqcRHQ1ZmLswnKIyEXKkrL1lxVu03pJRNMIa/a/bCKUrV8znM54RyI6ExVqhpRNhLL1q6FUPVckYsXirGwilK2/YtGlbC6JqAyVfYdowDh06FDDjlBYsh573Qd3igI5TEjZ+k2EyVU/SURXYybGrrJzpLL1x8BS+dskYsWisGwilK2/YtGlbC6JqAyVGw7LJkLZ+t2IBf1WkIj6MTXqY9lEKFu/UXBL9JxELBH8PKqxtVqZUrb+MsNuUjeJaBJd+k0EFBEgERWBojMiYBIBEjEG3bm5OTE7O8uDGORKA0g/WYREjEALIGLPeR7EoEgayEJGEpFE5AfH0EeXRIwgV9ZbAJFFUxbN86aBLCRE2mSOmJWhdE8EDCBAIhoAlV4SgawIkIhZEaN7ImAAARLRAKj0kghkRYBEzIoY3RMBAwiQiAZApZdEICsCJGJWxOheCYEHDx6I7u5ucfny5Qb3AwMDXr8ltmfr7OwUu3fvFq9fv25wY+vCJRtJRFux3kR6sOkM9j3EqBRsLxcUTKPatWuX2LFjhzh27Jh4+fJl8LG1c9dsJBGtRX3zKdq+fXskEV1CwhUbSUSXUkXNbIlL5NiYdGxsTGDfi7DgXl9fn8AuUlImJyfF/Py8vNT6n8dGrQb8v2ckoglU6aeHQFwiR3EV9UIUD+FGyqNHj8StW7fE6Oio2Lt3r7wtNm7cKMbHx/1rnSdZbdSpO+gXiRhEg+daEYhK5OE6IeqR/f39nl7UKyFoyLlw4YJ3jiUdV6xY4W3v7d3Q/JPVRs3qfe9IRB8KnsQhgBwsuI5q1Pndu3eXvB6VyINFTryAnG/nzp3+uyi2rlq1yt/fA1t+g6xRkteuoF95bAy+r+ucRNSFJP1ZgkA4kaN4uWzZMjEzM+O7bW9v91pR5Q0UVzdv3iwvRU9Pjzh16pR/rfskj426bYB/JKIJVOmnh0A4kS8sLHhdFkF42traGvoah4aGREdHh+9kw4YNYmJiwr/WfZLHRt02wD8S0QSqTe4ncjXkYmvWrBHYIgD1vcePH3uoDA8Pi5GREbG4uCiOHz8ujhw50oDW06dPvaIoGm3Q57h8+XIj9cMiNjYYrOmCRNQEJL1RRwD1RDTMhOuL8OHhw4ce8bBsI3LHPXv2qHus0WWSjRrV+F6RiD4UPCkbAfQhIgeUOyKj2wLD0JpBSMRmiOWKhBE7IZ8+fdrLLY8ePSqmpqYqYnlxM0nE4hjSB80IoO+w2YREbLYYZ3idRIBEdDJaaFSzIUAiNluMM7xOIkAiOhktNKrZECARmy3GGV4nESARnYyW6hvl0jIUcWi6ZCOJGBdLvJ8bAQwf41IZ2eAjEbPhRdcZEAgPqMarGD/qkrhiI4noUqqomS1xiZxLZSyNaBJxKSa8owmBOCJyqYylAJOISzHhHU0IRBGRS2VEg0siRuPCuwEE8i5JEUXE8NQnLpXxH9AkYiDB8VQvAmEicqmMeHxJxHhs+KQgAmEicqmMeEBJxHhs+CQnAkWWoeBSGTlB52tEICsCSctQcKmMrGjSPREQQty4ccNf2qIoILqWytBpU9Ewqb7PoqkqUnQXiQBGymCJCx2ia6kMnTbpCJeKHySiCkp0E4uAiURfdKkMEzbFAqDpAYmoCchm9cbFRO+iTWnpg0RMQ4jPExFwMdG7aFMiiFzpOw0ePg8igCLjoUOHGjakwUre+/fvb7gHItgSF23KE3bmiHlQ4zs+Ai7mPi7a5AMWc0IixgDD22oIuJjoXbQpDU0SMQ0hPk9EwMVE76JNiSCyjpgGD5+nIeBionfRpjQcmSOmIcTniQhg1ybXxEWb0jAiEdMQ4nMiYAEBEtECyFRBBNIQIBHTEOJzImABARLRAshUQQTSECAR0xDicyJgAQES0QLIVEEE0hAgEdMQ4nMiYAEBEtECyFRBBNIQIBHTEOJzImABARLRAshUQQTSECAR0xDicyJgAQES0QLIVFEeAq9fvxbPnj3LdTx58kTcu3dPzM7OJh5YArKokIhFESzwPiIwKZLv3Lkjbt68meu4fv26uHz5cu7j/Pnz4syZM7mP3t5e0dPTk+k4cOCA2Ldvn9KxY8cOsWXLFmeOomQkEQsQqcirWGR327ZtziQklxJ1FW0hEYuwocR3EXEuJ7j29nalnCkuBzt8+HCm3BC558mTJ5Vz4IsXLyrl9leuXMlVokBJ5Pbt2+LPP/9MLLWgRDM3N1c4JTFHLAxhfg+QKyYVTRHBees34X0I81vJN20gQCLaQJk6iEAKAiRiCkB8TARsIEAi2kCZOohACgIkYgpAfFwNBFAnRoPP8PCw6Ovr8/6rYfl/VpKIVYot2hqLAHYnvn//vv8c1+iMr4qQiFWJKdoZiwB2GV65cmXDcyypiO0BqiIkYlViinbGIjAyMiJaW1sbng8ODorPP/+84Z7LFySiy7FD25QQ+OWXX8QHH3zQ4BZ1xXfeeafhnssXJKLLsUPblBC4dOmSWLt2bYNbELGlpaXhnssXJKLLsUPblBAYGhqKLJp++OGHSu+74IhEdCEWaEMhBKampsTbb7/d4MfAwIDYuXNnwz2XL0hEl2OHtikjgDpicHxtR0eHQINNVYRErEpM0c5EBMbHx0VXV5fADsLT09OV6rpAwEjExOjlwyohsLCwIEZHR8XMzEyVzPZsJRErF2U0uI4IkIh1jFWGqXIIkIiVizIaXEcESMQ6xirDVDkESMTKRRkNriMC/wdB/u1UBEUUTQAAAABJRU5ErkJggg==[/img][br]Here, remainder is 0. So [math] y+1 [/math] is a factor of [math] f(y) [/math] [br][br](b) [math] y + 3 [/math] [br]Solution:[br][img]data:image/png;base64,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[/img][br]Since, remainder is 0, [math] y+3 [/math] is a factor of [math] f(y) [/math] [br](c) [math] y + 5 [/math] [br]Solution:[br][img]data:image/png;base64,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[/img][br]As remainder [math] = - 80 \neq 0 [/math], [math] y+5 [/math] is not factor of [math] f(y) [/math] [br](d) [math] y - 1 [/math] [br]Solution:[br][img]data:image/png;base64,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[/img][br]As remainder [math] = -32 \neq 0 [/math], [math] y - 1 [/math] is not a factor of [math] f(y) [/math].[br][br](e) [math] y - 5 [/math] [br]Solution:[br][img]data:image/png;base64,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[/img][br]As remainder [math] = 0 [/math], [math] y -5 [/math] is a factor of [math] f(y) [/math] [br][br]5. For the polynomial [math] p(x) = x^4 – 6x^3 + x – 2 [/math] and divisor [math] d(x) = x – 1, [/math] use long division to find the quotient [math] Q(x) [/math] and the remainder [math] R(x) [/math] when [math] P(x) [/math] is divided by [math] d(x).[/math] Express [math] p(x) [/math] in the form of [math] d(x). Q(x) + R(x). [/math] Write your finding.[br]Solution:[br]Here,[br] [math] p(x) = x^4 - 6x^3 + x - 2 [/math][br] [math] d(x) = x-1 [/math][br]Now,[br] 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[/img][br]Hence, Quotient [math] Q(x) = x^3 - 5x^2 - 5x -4 [/math][br] Remainder [math] (R) = -6 [/math][br]We know,[br] [math] p(x) = d(x). Q(x) + R(x) [/math][br][math] \therefore x^4 - 6x^3 + x -2 = (x-1)(x^3-5x^2-5x-4) - 6 [/math]