Question

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Simplify.

Answer 1

X^2+5x-14 = (x+7)(x-2)
X^2+8x+7=(x+7)(x+1)

(X+7) crosses out

Answer x-2 /x+1

Answer 2

Answer:
`\bold{B)\ (x-2)/(x+1)}`

Explanation:

Factor the numerator (top of fraction) and denominator (bottom of fraction). Then cancel out the common factor.

To factor, find two numbers whose product is the c-value and sum is the b-value.

x² + 5x - 14

∧

-1 +14 = 13

-2 +7 = 5 this works!

So, x² + 5x - 14 = (x - 2)(x + 7)

x² + 8x + 7

∧

1 +7 = 8 this work!

So, x² + 8x + 7 = (x + 1)(x + 7)

`(x^2+5x-14)/(x^2+8x+7)=((x+7)(x-2))/((x+7)(x+1))=(x-2)/(x+1)`