Question

factor the polynomial.
$5x^{2}+2xy + 15x + 6y$
$5x^{2}+2xy + 15x + 6y=square$
(factor completely.)

Explanation:

Step1: Group terms by pairs

Group the polynomial into two pairs:
$(5x^2 + 15x) + (2xy + 6y)$

Step2: Factor out GCF from each pair

Factor the greatest common factor from each group:
$5x(x + 3) + 2y(x + 3)$

Step3: Factor out common binomial

Factor out the shared binomial factor $(x+3)$:
$(x + 3)(5x + 2y)$

Answer:

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