Question

What is the complete factorization of x2 + 2x − 63? A. (x + 21)(x − 3) B. (x − 9)(x + 7) C. (x + 9)(x − 7) D. (x − 21)(x + 3)

Answer 1

Answer:

(x + 9)(x - 7)

Step-by-step explanation:

We want to factorize $x^2 + 2x - 63$

We need to find two numbers such that their product is -63 and they add up to +2. The two numbers are +9 and -7:

$x^2 + 9x - 7x - 63\\\\= x(x + 9) -7(x +9)\\\\ = (x +9)(x -7)$

The complete factorization is (x + 9)(x - 7)