Question

Factor these expressions.
x^2 + 7x + 10

Answer 1

`(x+2)(x+5)`

Explanation:

Let's factor x2+7x+10

x2+7x+10

The middle number is 7 and the last number is 10.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

• Add together to get 7
• Multiply together to get 10

Can you think of the two numbers?

Try 2 and 5:

2+5 = 7

2*5 = 10

Fill in the blanks in

(x+_)(x+_)

with 2 and 5 to get...

(x+2)(x+5)