71.2k views
1 vote
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

2 Answers

1 vote

Answer:


(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)

User Carolynn
by
7.8k points
4 votes

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

User Amulllb
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories