Question

Factor x2 + 10x + 9.

(x + 3)2
(x + 10)(x − 1)
(x − 9)(x − 1)
(x + 9)(x + 1)

Answer 1

Answer is (x + 9) (x +1)

Step by step

Distribute multiply
(x + 9) (x +1)

x^2 + 1x +9x + 9
Simplify

x^2 + 10x + 9

Problem solved

Answer 2

(x + 9)(x + 1)

Explanation:

x² + 10x + 9

consider the factors of the constant term (+ 9) which sum to give the coefficient of the x- term (+ 10)

the factors are + 9 and + 1 , since

9 × 1 = + 9 and 9 + 1 = + 10 , then

x² + 10x + 9 = (x + 9)(x + 1)