Answer:
(3x + 1) (x - 2)
Explanation:
3x² - 5x - 2
For a polynomial of the form ax² + bx + c, rewrite the middle term as a sum of two terms whose product is a ⋅ c = 3 ⋅ − 2 = − 6 and whose sum is b = − 5.
3x² + x - 6x - 2
Factor out the GCF from each group.
x (3x + 1) - 2 (3x + 1)
Factor the polynomial by factoring out the greatest common factor, 3x+1.
(3x + 1) (x - 2)