Question

Factor the expression below.

x^2 - 12x + 36
A. (X-6)(x+6)
B. (x-6)(x-6)
OC. 6(x²-x+6)
D. (x+6)(x+6)​

Answer 1

Ax^2 + Bx + C
A = 1
B = -12
C = 36

Find two numbers that add to B and multiply to C

-6 + -6 = -12
-6 * -6 = 36

Rewrite equation by replacing B with the two numbers:

x^2 - 6x - 6x + 36

Now factor:

x^2 - 6x - 6x + 36
=(x^2 - 6x) + (- 6x + 36)
=x(x-6) + -6(x-6)
=(x-6)(x + -6)
(X-6)(x-6)
B