Question

Factor Please show steps

3x^5 + 12x^4 − 36x^3

Answer 1

Answer: 3x^3(x - 2)(x + 6)

Explanation:

For this problem, you find a GCF first

The GCF in this case is 3x^3 since each term can be divided by both 3 and x^3

3x^3(x^2 + 4x - 12)

x * x = x^2

(-2 + 6) * x = 4x

-2 * 6 = -12

Since -2 and +6 work for the factors, the answer is 3x^3(x - 2)(x + 6)