Question

factor completely. $6x^2 + 19x + 3$

Explanation:

Step1: Find product of a and c

$6 \times 3 = 18$

Step2: Find two factors of 18 summing to 19

Factors: 1 and 18 (since $1+18=19$)

Step3: Split middle term using factors

$6x^2 + 1x + 18x + 3$

Step4: Factor by grouping

$x(6x + 1) + 3(6x + 1)$

Step5: Factor out common binomial

$(6x + 1)(x + 3)$

Answer:

$(6x + 1)(x + 3)$