Question

What is the completely factored form of 6 x squared minus 13 x minus 5? (2x - 5)(3x 1) (2x 5)(3x - 1) (2x - 1)(3x - 5) (2x 1)(3x 5)

Answer 1

(2x - 5)(3x + 1)

Explanation:

6x² - 13x - 5

ax² + bx + c

ac = 6 × (-5) = -30

-30 = -15 × 2

-13 = -15 + 2

6x² - 13x - 5 =

= 6x² - 15x + 2x - 5

= 3x(2x - 5) + 1(2x - 5)

= (2x - 5)(3x + 1)