Question

question
factor completely.
$6x^2 + 17x + 5$
answer attempt 1 out of 2

Explanation:

Step1: Find product of coefficients

$6 \times 5 = 30$

Step2: Find factors of 30 summing to 17

$15 + 2 = 17$

Step3: Split middle term

$6x^2 + 15x + 2x + 5$

Step4: Factor by grouping

$3x(2x + 5) + 1(2x + 5)$

Step5: Combine common factors

$(2x + 5)(3x + 1)$

Answer:

$(2x + 5)(3x + 1)$