Chapter 14, Problem 22PT

To determine

To calculate: The simplified form of the polynomial $\left(-14a{b}^2-7abc\right)÷\left(-7ab\right)$ .

Answer to Problem 22PT

The simplified form of the polynomial $\left(-14a{b}^2-7abc\right)÷\left(-7ab\right)$ is $2b+c$ .

Explanation of Solution

Given Information:

The polynomialexpression is $\left(-14a{b}^2-7abc\right)÷\left(-7ab\right)$ .

Calculation:

The given polynomial is $\left(-14a{b}^2-7abc\right)÷\left(-7ab\right)$ .

Now, find the simplified form of the polynomial $\left(-14a{b}^2-7abc\right)÷\left(-7ab\right)$ .

  $\begin{array}{c}\left(-14a{b}^2-7abc\right)÷\left(-7ab\right)=\frac{-14a{b}^2-7abc}{-7ab}\\ =\frac{-14a{b}^2}{-7ab}+\frac{7abc}{7ab}\\ =2b+c\end{array}$

Hence, the simplified form of the polynomial $\left(-14a{b}^2-7abc\right)÷\left(-7ab\right)$ is $2b+c$ .