Question

What is the factored form of 3x^2+21x-24

Answer 1

3(x-1)(x+8)

Explanation:

3x2+21x−24

3x2+21x−24

=3(x−1)(x+8)

Answer 2

Find the Greatest Common Factor (GCF)

GCF = 3

Factor out the GCF (Write the GCF first, then in parenthesis divide each term by the GCF)

3(3x^2/3 + 21x/3 - 24/3)

Simplify each term in parenthesis

3(x^2 + 7x - 8)

Factor x^2 + 7x - 8

3(x - 1)(x + 8)