Chapter 8.5, Problem 1BGP

To determine

To factor: The polynomial $7u^2{t}^2+21u{t}^2-ut$ using the Distributive Property

Answer to Problem 1BGP

  $ut\left(7ut+21t-1\right)$

Explanation of Solution

Given:

  $7u^2{t}^2+21u{t}^2-ut$

Calculation:

The Distributive Property is given by

  $a\left(b+c\right)=ab+ac\text{ and }ab+ac=a\left(b+c\right)$ , where a , b and c are real numbers

Now, in the given polynomial the GCF is $ut$

So, factored out the GCF and use the distributive property

  $\begin{array}{l}7u^2{t}^2+21u{t}^2-ut\\ =ut\left(7ut+21t-1\right)\end{array}$

So, the factored form is $ut\left(7ut+21t-1\right)$