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

Answer:

$(x-3)$

Step-by-step explanation:

$\frac{x^2+7x-30}{x+10}$

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

$\frac{x^2+7x-30}{x+10}$

$\frac{(x+10)(x-3)}{x+10}$

cancel out x+10

$(x-3)$

Answer 2

This looks like: $\frac{x^2+7x-30}{x+10}$

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:

$\frac{(x-3)(x+10)}{x+10}$

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

Answer is:

x - 3