Question

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

Answer 1

Answer:

Step-by-step explanation:

The given equation is:

$x^{2}-8x-20$

Simplifying the above equation, we get

$x^{2}-10x+2x-20$

$x(x-10)+2(x-10)$

$(x+2)(x-10)$

therefore, the equation $x^{2}-8x-20$ matches with (B) $(x+2)(x-10)$.

The given equation is :

$x^{2}+8x-20$

Simplifying the above equation, we get

$x^{2}+10x-2x-20$

$x(x+10)-2(x+10)$

$(x-2)(x+10)$

therefore, the equation $x^{2}+8x-20$ matches with (D) $(x-2)(x+10)$

The given equation is:

$x^{2}-x-20$

Simplifying the above equation, we get

$x^{2}-5x+4x-20$

$x(x-5)+4(x-5)$

$(x+4)(x-5)$

therefore, the equation $x^{2}-x-20$ matches with (A) $(x+4)(x-5)$.

The given equation is:

$x^{2}-9x-20$

This equation ca't be firther simplified or factorised, thus the equation$x^{2}-9x-20$ matches with (C) Prime.