Answer
$x^2+7x+6$
Work Step by Step
We multiply each term of the first
polynomial by each term of the second polynomial. Then we add the products, as follows
$$
(x + 1)(x + 6)= x (x + 6)+ (x + 6)\\
=x^2+6x+x+6=x^2+7x+6
.$$
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