Respuesta :

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]