Answer:
5 (x - 1) (4 x + 7)
Step-by-step explanation:
Factor the following:
20 x^2 + 15 x - 35
Factor 5 out of 20 x^2 + 15 x - 35:
5 (4 x^2 + 3 x - 7)
Factor the quadratic 4 x^2 + 3 x - 7. The coefficient of x^2 is 4 and the constant term is -7. The product of 4 and -7 is -28. The factors of -28 which sum to 3 are -4 and 7. So 4 x^2 + 3 x - 7 = 4 x^2 + 7 x - 4 x - 7 = 7 (x - 1) + 4 x (x - 1):
5 7 (x - 1) + 4 x (x - 1)
Factor x - 1 from 7 (x - 1) + 4 x (x - 1):
Answer: 5 (x - 1) (4 x + 7)
