Question

multiply the binomials using the area (box) method. fill out the table and then submit your final answer below. remember to use the ^ key to type an exponent (shift 6). (x + 1)(x + 5)

Explanation:

Step1: Set up the box

We have two binomials $(x + 1)$ and $(x+5)$. In the box - method, we create a 2x2 box. The terms of the first binomial $x + 1$ are placed on the top - row ( $x$ and $1$) and the terms of the second binomial $x + 5$ are placed on the left - column ($x$ and $5$).

	$x$	$1$
$5$	$5\times x=5x$	$5\times1 = 5$

Step2: Combine like - terms

The terms in the box are $x^{2}$, $x$, $5x$, and $5$. We combine the like - terms $x$ and $5x$.
$x^{2}+(x + 5x)+5=x^{2}+6x + 5$

Answer:

$x^{2}+6x + 5$