Question

multiple choice 18.11 factor: 3x^2 - 11x + 6

Explanation:

Step1: Use AC method for trinomial

For $3x^2 -11x +6$, find $3\times6=18$, two numbers that multiply to 18 and add to -11: -9 and -2.

Step2: Rewrite middle term

$3x^2 -9x -2x +6$

Step3: Factor by grouping

$$\begin{align} &3x(x-3) -2(x-3)\\ &=(3x-2)(x-3) \end{align}$$

Step4: Match with options

Compare to given choices.

Answer:

C. $(3x - 2) (x - 3)$