Question

Simplify completely x^2+7x-30 divided by x+10

Answer 1

x-3

Explanation:

`(x^2+7x-30)/(x+10)`

1) look at the top equation and factor:

Factors of -30: 10,-3 6,-5 15,-2 -3,10 -6,5 -15,2

Factors adding up to 7: 10,-3

So x^2+10x-3x-30

X(x+10) -3(x+10)

(x-3)(x+10)

2) bring in the denominator terms

`((x-3)(x+10))/(x+10)`

(x+10)'s cancel each other out

And your left with (x-3)

Hope this helps!