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

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)

3 (x-1) (x+8)

Step-by-step explanation:

3x2+21x-24

3x2+21x-24

=3 (x-1) (x+8)