Given the following polynomial:
[tex]\mleft(4x^2-2x+7\mright)+\mleft(x^2-7x-2\mright)[/tex]You can follow the steps shown below in order to simplify it:
Step 1. Remember the Signs rules for multiplication:
[tex]\begin{gathered} (-)_{}(-)_{}=(+)_{} \\ (-)_{}(+)=(-) \\ (+)(+)=(+) \end{gathered}[/tex]Then, you can rewrite the expression as following:
[tex]=4x^2-2x+7+x^2-7x-2[/tex]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:
[tex]=5x^2-9x+5[/tex]The answer is:
[tex]5x^2-9x+5[/tex]