Question

Simplify completely quantity of x squared plus 7 x minus 30 all over quantity of x plus 10. x2 + 4 x2 ? 4 x ? 3 x + 3

Answer 1

`(x-3)`

Explanation:

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

To divide it, we need to factor the numerator

lets factor
`x^2+7x-30`

product is
`-30` and sum is 7

we need to find out two factors whose product is
`-30` and sum is 7

`10 \cdot (-3)= -30`

`10-3=7`

`x^2+7x-30`

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

Replace it in the denominator

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

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

cancel out x+10

`(x-3)`

Answer 2

This looks like:
`(x^2+7x-30)/(x+10)`

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:

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

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

Answer is:

x - 3