Question

What is the factored form of the expression below?

6x^2 + 17x + 5

a (3x + 1)(2x + 5)
b (6x + 1)(3x + 5)
c The expression cannot be factored over the integers.
d (3x + 5)(2x + 1)

Answer 1

a. (3x+1)(2x+5)

Explanation:

6x^2 + 17x + 5

6 = 3x times 2x and 5 = 1 times 5

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

Answer 2

The correct choice is option a. (3x + 1)(2x + 5)

Explanation:

6x^2 + 17x + 5

= 6x^2 + 15x + 2x + 5

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

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