Factorize 1. - 3b^2+15b+18

2. 2K^2+3K-35

Problem #1.

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 (3b^2/3 + - 15b/3 - 18/3)

Simplify each term in parenthesis;

-3 (b^2 - 5b - 6)

Factor b^2 - 5b - 6

-3 (b - 6) (b + 1)

Problem #2.

Split the second term in 2k^2 + 3k - 35 into two terms

2k^2 + 10k - 7k - 35

Factor out common terms in the first two term, then in the last two terms;

2k (k + 5) - 7 (k + 5)

Factor out the common term k + 5

(k + 5) (2k - 7)