Question

Factor completely 4x^4-4x^3-24x^2

A: (x-2)
B: (x+2)
C: (x+3)
D: 4x

Answer 1

4x^2(x - 3)(x + 2)

Explanation:

First, factor out the greatest common factor of the terms, which is 4x^2:

4x^4 - 4x^3 - 24x^2 = 4x^2(x^2 - x - 6)

Then, factor the quadratic expression in the parentheses:

4x^2(x^2 - x - 6) = 4x^2(x - 3)(x + 2)

Therefore, the completely factored form of 4x^4 - 4x^3 - 24x^2 is:

4x^2(x - 3)(x + 2)