Respuesta :

This looks like: [tex]\frac{x^2+7x-30}{x+10}[/tex]

To solve this problem, you'll want to use the AC method to factor x^2+7x-30.

After factoring your expression will look like this:

[tex]\frac{(x-3)(x+10)}{x+10}[/tex]

Cancel out the x+10 because they are common factors, so you are just left with the simple x-3.

Answer is:

x - 3

Answer:

[tex](x-3)[/tex]

Step-by-step explanation:

[tex]\frac{x^2+7x-30}{x+10}[/tex]

To divide it, we need to factor the numerator

lets factor [tex]x^2+7x-30[/tex]

product is [tex]-30[/tex] and sum is 7

we need to find out two factors whose product is [tex]-30[/tex] and sum is 7

[tex]10 \cdot (-3)= -30[/tex]

[tex]10-3=7[/tex]

[tex]x^2+7x-30[/tex]

[tex](x+10)(x-3)[/tex]

Replace it in the denominator

[tex]\frac{x^2+7x-30}{x+10}[/tex]

[tex]\frac{(x+10)(x-3)}{x+10}[/tex]

cancel out x+10

[tex](x-3)[/tex]