Factor completely:x2 – 5x – 6?

x² - 5x = 6
x² - 5/2x = 6 + (- 5/2)²
x² - 5/2x = 24/4 + 25/4
(x - 5/2)² = 49/4
x - 5/2 = 7/2

Factors:
= x - 5/2 - 7/2 = x - 12/2 = x - 6
= x - 5/2 + 7/2 = x + 2/2 = x + 1

Answer: (x - 6)(x + 1) are the factors.

Proof (F.O.I.L.):
= (x - 6)(x + 1)
= x² + x - 6x - 6
= x² - 5x - 6

(x - 6) (x + 1)

X2 5x 6 Factor

x^2 - 5x - 6
= x^2 + x - 6x - 6
= (x^2 + x) - (6x + 6)
= x(x + 1) - 6(x + 1)
= (x + 1)(x - 6)

(X+1)(X-6)
U just have to find 2 numbers which give the middle term(-5) while added and the number(-6) while multiplied. Which , in this case, are 1 & -6