factored form of the function f(x)=36x^+15x-6

Answer 1

Step 1: Greatest common factor (3)

36x² + 15x - 6 = 3(12x² + 5x - 2)

Step 2: Factor.

3(4x - 1)(3x + 2)

This is right because:

4x * 3x = 12x²

(4x * 2) + (3x * -1) = 8x + -3x = 5x

-1 * 2 = -2

Answer 2

36x² + 15x - 6 = 3(12x² + 5x - 2) = 3(4x - 1)(3x + 2)