Answer:
[tex]-5m^2+7m+8[/tex]
Step-by-step explanation:
Here, we add up two polynomials shown.
The polynomials are:
[tex][-m^2 + 6]+[-4m^2 +7m + 2][/tex]
In order to add up the 2 polynomials shown, we have to see the "like terms" and add them up.
We add up the "[tex]m^2[/tex]" terms and the constant (number) terms. There is one term with "m", so we leave it like that. Let's add up. Shown below:\
[tex][-m^2 + 6]+[-4m^2 +7m + 2]\\=-m^2-4m^2+6+2+7m\\=-5m^2+7m+8[/tex]
This is the sum of the 2 polynomials shown: [tex]-5m^2+7m+8[/tex]