Factor: 15c^2 + 37c + 20

Question

Mathematics

Gavyn Massey

26 October, 16:01

Factor: 15c^2 + 37c + 20

+1

Answers (1)

Know the Answer?

Chance Hickman · Answer 1

(5 c + 4) (3 c + 5)

Step-by-step explanation:

Factor the following:

15 c^2 + 37 c + 20

Factor the quadratic 15 c^2 + 37 c + 20. The coefficient of c^2 is 15 and the constant term is 20. The product of 15 and 20 is 300. The factors of 300 which sum to 37 are 12 and 25. So 15 c^2 + 37 c + 20 = 15 c^2 + 25 c + 12 c + 20 = 5 (5 c + 4) + 3 c (5 c + 4):

5 (5 c + 4) + 3 c (5 c + 4)

Factor 5 c + 4 from 5 (5 c + 4) + 3 c (5 c + 4):

Answer: (5 c + 4) (3 c + 5)