Question

Factor completely x^2+10x+21

Answer 1

Answer: (x+7)(x+3)

Explanation:

We need to values that we will add and get 10 and two values we will multiply and get 21 which are 7 and 3

Answer 2

(x+3)(x+7)

Explanation:

x2+10x+21

The middle number is 10 and the last number is 21.

Factoring means we want something like

(x+_)(x+_)

We need two numbers that

Add together to get 10

Multiply together to get 21

3 and 7:

3+7 = 10

3*7 = 21

Fill in the blanks in

(x+_)(x+_)

with 3 and 7 to get...

(x+3)(x+7)