Determine the factors of 3x2 + 10x − 8. (which is the right answer? )

a. (3x − 8)(x + 1)
b. (3x − 1)(x + 8)
c. (3x − 4)(x + 2)
d. (3x − 2)(x + 4)

ANSWER

EXPLANATION

The given quadratic trinomial is

Comparing to the general quadratic trinomial:

We have a=1, b=10 and c=-8

The factors of -24 that adds up to 10 are -2 and 12.

We split the middle term to obtain;

Factor;

Factor further;

The last option is correct.

step-by-step explanation: