Question

factor the polynomial.
$5x^2 + 6xy + 10x + 12y$
$5x^2 + 6xy + 10x + 12y = \square$
(factor completely.)

Explanation:

Step1: Group terms into pairs

Group first two and last two terms:
$(5x^2 + 6xy) + (10x + 12y)$

Step2: Factor out GCF from each pair

Factor $x$ from first group, 2 from second:
$x(5x + 6y) + 2(5x + 6y)$

Step3: Factor out common binomial

Factor $(5x + 6y)$ from both terms:
$(5x + 6y)(x + 2)$

Answer:

$(5x + 6y)(x + 2)$