Question

Factor completely:
x, squared, left parenthesis, x, plus, 4, right parenthesis, minus, 3, x, left parenthesis, x, plus, 4, right parenthesis, minus, 40, left parenthesis, x, plus, 4, right parenthesis
x
2
(x+4)−3x(x+4)−40(x+4)

Answer 1

Factor out the common factor (x+4):

(x+4)(x^2 − 3x − 40)

Now factor the quadratic:

x^2 − 3x − 40 = (x − 8)(x + 5)

So the fully factored form is

(x+4)(x−8)(x+5)