#### Answer

$x^{2}$ + 9x+14

#### Work Step by Step

Two binomials can be quickly multiplied by using the FOIL method, in which F represents the product of the first terms in each binomial, O represents the product of the outside terms, I represents the product of the two inside terms, and L represents the product of the last,
(x+7)(x+2)
F = x.x = $x^{2}$
O = x.2 = 2x
I = 7.x = 7x
L = 7.2 = 14
(x+7)(x+2) = $x^{2}$ + 2x+7x+14
combine like terms
$x^{2}$ + 9x+14