Question

Factor -75c^2-45c+12

Answer 1

Answer: −3(5c+4)(5c−1)

Step-by-step explanation:

1. Find the Greatest Common Factor (GCF).

GCF=3

2. Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

3(75c^2/3+45c/3−12/3)

3. Simplify each term in parentheses.

−3(25c^2+15c−4)

4. Split the second term in 25c2+15c−4 into two terms.

−3(25c^2+20c−5c−4)

5. Factor out common terms in the first two terms, then in the last two terms.

−3(5c(5c+4)−(5c+4))

6. Factor out the common term 5c+4

−3(5c+4)(5c−1)