Question

factor trinomials (a>1) level 3
score: 15.75/20 penalty: 0.25 off
question
factor completely.
$6x^2 + 5x + 1$

Explanation:

Step1: Find product of a and c

$a=6, c=1$, so $6×1=6$

Step2: Find factors of 6 summing to 5

Factors: 2 and 3 (since $2+3=5$)

Step3: Split middle term

$6x^2 + 2x + 3x + 1$

Step4: Factor by grouping

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

Step5: Factor out common binomial

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

Answer:

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