Question

question
factor completely.
$6x^2 + 61x + 10$
answer attempt 1 out of 2

Explanation:

Step1: Find product of coefficients

$6 \times 10 = 60$

Step2: Find two numbers for sum 61

Numbers: 60 and 1 (since $60 + 1 = 61$)

Step3: Split middle term

$6x^2 + 60x + x + 10$

Step4: Factor by grouping

$6x(x + 10) + 1(x + 10)$

Step5: Combine common factors

$(6x + 1)(x + 10)$

Answer:

$(6x + 1)(x + 10)$