Question

factor trinomials (a>1) level 1
score: 0/2 penalty: 0.25 off
question
factor the trinomial:
$3x^2 + 10x + 8$
answer attempt 1 out of 2

Explanation:

Step1: Multiply a and c

$3 \times 8 = 24$

Step2: Find factors of 24 summing to 10

$6 \times 4 = 24$, $6 + 4 = 10$

Step3: Split middle term

$3x^2 + 6x + 4x + 8$

Step4: Factor by grouping

$3x(x + 2) + 4(x + 2)$

Step5: Factor out common binomial

$(3x + 4)(x + 2)$

Answer:

$(3x + 4)(x + 2)$