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

Answer Link

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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Related Questions

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)