Question

What is the factored form of the quadratic expression 6x^2 - 13x - 5?

a) (2x - 1)(3x + 5)
b) (2x - 5)(3x + 1)
c) (2x + 1)(3x - 5)
d) (2x + 5)(3x - 1)

Answer 1

The factored form of the quadratic expression 6x^2 - 13x - 5 is (2x - 5)(3x + 1).

Step-by-step explanation:

The factored form of the quadratic expression 6x^2 - 13x - 5 is (2x - 5)(3x + 1).

To find the factored form, we need to factorize the quadratic expression. We look for two binomials of the form (ax + b)(cx + d) where a, b, c, and d are integers.

After trying different combinations, we find that (2x - 5)(3x + 1) gives us the original expression when multiplied together.