Question

Which expression includes the factors that can be used to find the zeros of this function?

f(x) = 5x² + 12x – 9

A. (x + 1)(5x – 9)
B. (x – 1)(5x + 9)
C. (x + 3)(5x – 3)
D. (x – 3)(5x + 3)

Answer 1

Explanation:

Hey there!

Given;

f(x)= 5x^2+12x-9.

Now, do mid-term factorization.

f(x)= 5x^2 + (15-3)x-9

= 5x^2+15x-3x -9

= 5x(x+3) -3(x+3)

= (5x-3)(x+3)

Therefore the answer is option C.

Hope it helps..

Answer 2

(x+3)( 5x-3)

Explanation:

f(x) = 5x² + 12x – 9

Factor

(x+3)( 5x-3)