Factor each trinomial. Then match the polynomial (term) on the left with its factored form (definition) on the right.

Match Term Definition
___ x2 – 8x – 20 A) (x – 5)(x + 4)
_ x2 + 8x – 20 B) (x – 10)(x + 2)
_ x2 – x – 20 C) Prime
___ x2 – 9x – 20 D) (x – 2)(x + 10)

The answer is B, D, A, C.

1. [tex]x^{2} -8x-20= x^{2} +2x-10x-2*10= (x^{2} +2x)-(10x+2*10)= \\ =x(x+2)-10(x+2)=(x+2)(x-10)[/tex] (choice B)
2. [tex] x^{2} +8x-20= x^{2} +10x-2x-2*10=( x^{2} -2x)+(10x-2*10)= \\=x(x-2)+10(x-2)=(x-2)(x+10) [/tex] (choice D)
3. [tex]x^{2} -x-20= x^{2} -5x+4x-4*5= (x^{2} -5x)+(4x-4*5) = \\ =x(x-5)+4(x-5)=(x-5)(x+4)[/tex] (choice A)
4. This leaves the choice C.

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Factor each trinomial. Then match the polynomial (term) on the left with its factored form (definition) on the right. Match Term Definition _____ x2 – 8x – 20 A) (x – 5)(x + 4) _____ x2 + 8x – 20 B) (x – 10)(x + 2) _____ x2 – x – 20 C) Prime _____ x2 – 9x – 20 D) (x – 2)(x + 10)

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Factor each trinomial. Then match the polynomial (term) on the left with its factored form (definition) on the right.

Match Term Definition
___ x2 – 8x – 20 A) (x – 5)(x + 4)
_ x2 + 8x – 20 B) (x – 10)(x + 2)
_ x2 – x – 20 C) Prime
___ x2 – 9x – 20 D) (x – 2)(x + 10)