#### Answer

(x+4)(x- 11)

#### Work Step by Step

$x^{2}$ - 7x - 44
step 1. Enter x as the first term of each factor
$x^{2}$ - 7x - 44= (x__)(x _)
Step 2. To find the second term of each factor, we must find two integers whose product is -44 and whose sum is -7
List pairs of factors of the constant, -44
(1,-44)(-1,44)(4,-11)(-4,11)
step 3. The correct factorization of $x^{2}$ - 7x -44 is the one in which the sum of the Outside and Inside products is equal to -7x
So (4,-11) satisfy the condition
$x^{2}$ - 7x -44 = $x^{2}$ +4x -11x -44 = (x+4)(x- 11)