Question

Factor the expression.
x squared plus 7 x plus 10

Answer 1

x² + 7x + 10 = (x + 2) (x + 5)

Explanation:

Given: x squared plus 7 x plus 10

The algebraic expression is ⇒ x² + 7x + 10

To factor the expression, we need to find two numbers, their product = 10

and their sum = 7

Factor the number 10

10 = 1 * 10 ⇒ 1 + 10 = 11

10 = 2 * 5 ⇒ 2 + 5 = 7

So, the numbers are 2 and 5

So, x² + 7x + 10 = (x + 2) (x + 5)