Question

Given the polynomial 3x3 − 4x2 + 9x − 12, rewrite the polynomial as a product of binomials.

(x2 + 3)(3x + 4)
(x2 + 3)(3x − 4)
(x2 − 3)(3x + 4)
(x2 − 3)(3x − 4)

Answer 1

(x^2+3)(3x-4)

Explanation:

To answer this question we can employ a technique called factor by grouping. This strategy has us factor out values from the first two numbers and last two numbers to simplify the expression.

3x^3-4x^2+9x-12

x^2(3x-4)+3(3x-4)

(x^2+3)(3x-4)

Therefore, the answer is the second option.