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)