Question

Simplify the polynomial expression. (4x^2-2x+7)+(x^2-7x-2)

Answer 1

Given the following polynomial:

`\mleft(4x^2-2x+7\mright)+\mleft(x^2-7x-2\mright)​`

You can follow the steps shown below in order to simplify it:

Step 1. Remember the Signs rules for multiplication:

`\begin{gathered} (-)_{}(-)_{}=(+)_{} \\ (-)_{}(+)=(-) \\ (+)(+)=(+) \end{gathered}`

Then, you can rewrite the expression as following:

`=4x^2-2x+7+x^2-7x-2`

Step 2. Now you must add the like terms (Remember that "like terms" are those terms whose variables are exponents are the same). Then, you get:

`=5x^2-9x+5`

The answer is:

`5x^2-9x+5`