Chapter 14, Problem 8PT

To determine

To calculate: The addition of the polynomial $\left(-3x^2+8x+12\right)+\left(9x^2+6x-10\right)$ .

Answer to Problem 8PT

The simplified form of the polynomial $\left(-3x^2+8x+12\right)+\left(9x^2+6x-10\right)$ is $6x^2+14x+2$ .

Explanation of Solution

Given Information:

The polynomialexpression is $\left(-3x^2+8x+12\right)+\left(9x^2+6x-10\right)$ .

Calculation:

The given polynomial is $\left(-3x^2+8x+12\right)+\left(9x^2+6x-10\right)$ .

Now, find the simplified form of the polynomial $\left(-3x^2+8x+12\right)+\left(9x^2+6x-10\right)$ .

  $\begin{array}{c}\left(-3x^2+8x+12\right)+\left(9x^2+6x-10\right)=-3x^2+8x+12+9x^2+6x-10\\ =-3x^2+9x^2+8x+6x+12-10\\ =6x^2+14x+2\end{array}$

Hence, the simplified form of the polynomial $\left(-3x^2+8x+12\right)+\left(9x^2+6x-10\right)$ is $6x^2+14x+2$ .