Question

Factor completely. 5 x2 + 10 x - 40

Answer 1

Steps to factor:

5x² + 10x - 40

~Factor out 5

5x² + 5 * 2x - 5 * 8

~Simplify

5(x² + 2x - 8)

~Break up x² + 2x - 8 in the expression

(x² - 2x) + (4x - 8)

~Factor out x and 4

x(x - 2) + 4(x - 2)

~Factor out common term (x - 2)

(x - 2)(x + 4)

~Add 5 back

5(x - 2)(x + 4)

Best of Luck!