Question

factor completely. $4x^2 + 12x + 5$

Explanation:

Step1: Find product of a and c

$a=4, c=5$, so $4×5=20$

Step2: Find factors of 20 summing to 12

Factors: 2 and 10 (since $2+10=12$)

Step3: Split middle term

$4x^2 + 2x + 10x + 5$

Step4: Factor by grouping

$2x(2x + 1) + 5(2x + 1) = (2x + 1)(2x + 5)$

Answer:

$(2x + 1)(2x + 5)$