Question

factor trinomials (a>1) level 1
score: 1/2 penalty: 0.25 off
question
factor the trinomial:
2x² + 13x + 21
answer attempt 1 out of 2

Explanation:

Step1: Multiply a and c

$2 \times 21 = 42$

Step2: Find factors of 42 summing to 13

$6$ and $7$ (since $6 + 7 = 13$)

Step3: Split middle term

$2x^2 + 6x + 7x + 21$

Step4: Factor by grouping

$2x(x + 3) + 7(x + 3)$

Step5: Factor out common binomial

$(2x + 7)(x + 3)$

Answer:

$(2x + 7)(x + 3)$