On the Factoring Knowledge Check, you will be assessed on the following content learning outcomes for MATH 096:[br][list=1][*]Factor out the greatest common factor;[/*][*]Factor a polynomial by grouping;[/*][*]Factor a trinomial;[/*][*]Factor special products like difference of squares;[/*][*]Factor a polynomial completely. [/*][/list][br]This assessment was created for you to use as a review to help you prepare for the Factoring Knowledge Check. This review is NOT counted toward your grade in MATH 096.
Factor out the GCF.[br][br][math]15x^4-3x+6x^3[/math]
[math]3x\left(5x^3-1+2x^2\right)[/math]
Factor by grouping.[br][br][math]7a-35-a^2+5a[/math]
[math]\left(a-5\right)\left(7-a\right)[/math]
Factor the trinomial. [br][br][math]6w^2-43w+7[/math]
[math]\left(6w-1\right)\left(w-7\right)[/math]
Factor the difference of squares.[br][br][math]169-p^2[/math]
[math]\left(13-p\right)\left(13+p\right)[/math]
Factor completely.[br][br][math]a^2+12a+32[/math]
[math]\left(a+4\right)\left(a+8\right)[/math]
Factor completely.[br][br][math]x^2+x-42[/math]
[math]\left(x+7\right)\left(x-6\right)[/math]
Factor completely.[br][br][math]2y^2-17y+8[/math]
[math]\left(2y-1\right)\left(y-8\right)[/math]
Factor completely.[br][br][math]6z^2+19z+8[/math]
Factor completely.[br][br][math]9t^2-100[/math]
Factor completely.[br][br][math]v^2-81[/math]
Factor completely.[br][br][math]3a^2+27ab+54b^2[/math]
[math]3\left(a+6b\right)\left(a+3b\right)[/math]
Factor Completely.[br][br][math]49+p^2[/math]
Prime; sum of squares is always a prime polynomial
Factor completely.[br][br][math]-10u^2+30u-20[/math]
[math]-10\left(u-2\right)\left(u-1\right)[/math]
Factor Completely.[br][br][math]12t^2-75[/math]
[math]3\left(2t-5\right)\left(2t+5\right)[/math]
Factor completely.[br][br][math]5y^2-50y+125[/math]
[math]5\left(y-5\right)\left(y-5\right)=5\left(y-5\right)^2[/math]
Factor completely.[br][br][math]21q^2+14q[/math]
[math]7q\left(3q+2\right)[/math]
Factor completely.[br][br][math]2x^3+x^2-8x-4[/math]
[math]\left(2x+1\right)\left(x-2\right)\left(x+2\right)[/math]
Factor completely.[br][br][math]16a^2-64b^2[/math]
[math]16\left(a-2b\right)\left(a+2b\right)[/math]
Factor completely.[br][br][math]3x^2y-6xy-24y[/math]
[math]3y\left(x-4\right)\left(x+2\right)[/math]
Factor completely.[br][br][math]2ax+10bx-3ya-15yb[/math]
[math]\left(a+5b\right)\left(2x-3y\right)[/math]
Factor completely.[br][br][math]m^2n^2-81[/math]
[math]\left(mn-9\right)\left(mn+9\right)[/math]