Chapter 14, Problem 42SGR

To determine

To calculate: The value of $\left(-6x^2-4x+2\right)÷\left(-2\right)$ by division.

Answer to Problem 42SGR

The requireddivision of the expression $\left(-6x^2-4x+2\right)÷\left(-2\right)$ is $3x^2+2x-1$ .

Explanation of Solution

Given Information:

The expression is $\left(-6x^2-4x+2\right)÷\left(-2\right)$ .

Calculation:

The given expression is $\left(-6x^2-4x+2\right)÷\left(-2\right)$ .

Find the division of the expression $\left(-6x^2-4x+2\right)÷\left(-2\right)$ .

  $\left(-6x^2-4x+2\right)÷\left(-2\right)=\frac{-6x^2-4x+2}{-2}$

On the right hand side take $-2$ common from the numerator and simplify.

  $\begin{array}{c}\frac{-6x^2-4x+2}{-2}=\frac{-2\left(3x^2+2x-1\right)}{-2}\\ =3x^2+2x-1\end{array}$

Hence, the required division of the expression $\left(-6x^2-4x+2\right)÷\left(-2\right)$ is $3x^2+2x-1$ .