Question

factor trinomials (a>1) level 3
question
factor completely.
$3x^2 - x - 2$
answer attempt 1 out of 2

Explanation:

Step1: Multiply a and c

$3 \times (-2) = -6$

Step2: Find two factors of -6

Factors: 2 and -3 (since $2 + (-3) = -1$)

Step3: Split middle term

$3x^2 + 2x - 3x - 2$

Step4: Group and factor

$x(3x + 2) - 1(3x + 2)$

Step5: Factor out common binomial

$(3x + 2)(x - 1)$

Answer:

$(3x + 2)(x - 1)$