(3x + 8) multiplied by what binomial will result in the trinomial $12 x ^ { 2 } + 35 x + 8$ ?
A) (4x + 1)
B) (x - 1)
C) (x + 1)
D) (4x - 1)

Question

Quizplus · Accepted Answer

To find the correct binomial, we need to multiply the given binomial (3x + 8) by each option and see which product matches the given trinomial $12x^2 + 35x + 8$. Multiplying (3x + 8) by (4x + 1) gives $12x^2 + 3x + 32x + 8 = 12x^2 + 35x + 8$, which matches the given trinomial exactly.

(3x + 8) Multiplied by What Binomial Will Result in the Trinomial