Question

Rewrite in factored form, do not solve 9x^2+21x-8=0

Answer 1

Answer:

(3 x - 1) (3 x + 8)

Step-by-step explanation:

Factor the following:

9 x^2 + 21 x - 8

Factor the quadratic 9 x^2 + 21 x - 8. The coefficient of x^2 is 9 and the constant term is -8. The product of 9 and -8 is -72. The factors of -72 which sum to 21 are -3 and 24. So 9 x^2 + 21 x - 8 = 9 x^2 + 24 x - 3 x - 8 = 8 (3 x - 1) + 3 x (3 x - 1):

8 (3 x - 1) + 3 x (3 x - 1)

Factor 3 x - 1 from 8 (3 x - 1) + 3 x (3 x - 1):

Answer: (3 x - 1) (3 x + 8)