Answer
$x^2+15x+56=(x+8)(x+7)$
Work Step by Step
$x^2+15x+56$
Factors of 56 | Sum of Factors
$\ \ \ \ \ \ 1,56\ \ \ \ \ \ \ |\ \ \ \ \ \ \ \ \ \ 57$
$\ \ \ \ \ \ 2,28\ \ \ \ \ \ \ |\ \ \ \ \ \ \ \ \ \ 30$
$\ \ \ \ \ \ 4,14\ \ \ \ \ \ \ |\ \ \ \ \ \ \ \ \ \ 18$
$\ \ \ \ \ \ 8,7\ \ \ \ \ \ \ \ \ |\ \ \ \ \ \ \ \ \ \ 15\checkmark$
Since all the terms in the binomial are added, the factors will both include addition.
$x^2+15x+56=(x+8)(x+7)$
Use the FOIL method to check the answer.
$(x+8)(x+7)=x^2+7x+8x+56=x^2+15x+56\checkmark$
