Chapter 8.3, Problem 18PPE

To determine

To simplify the given expression $\left(x-8\right)\left(3x+1\right)$ using a table

Answer to Problem 18PPE

The simplest form of given expression is $3x^2-23x-8.$

Explanation of Solution

Given information:

Given expression $\left(x-8\right)\left(3x+1\right)$

The table for product of $\left(x-8\right)\text{and}\left(3x+1\right)\text{is}$

$\times$	$3x$	$1$
$x$	$3x^2$	$x$
$-8$	$-24x$	$-8$

Therefore, the product of $\left(x-8\right)\text{and}\left(3x+1\right)\text{is}3x^2+x-24x-8\text{or}3x^2-23x-8.$

Hence, the simplest form of given expression is $3x^2-23x-8.$