Answer:
The polynomial that must be added is;
[tex]2x^2+9x-6[/tex]
Explanation:
Given the polynomial;
[tex]x^2-2x+6[/tex]
We want to find the polynomial that must be added to it to give the polynomial;
[tex]3x^2+7x[/tex]
To get that we will subtract the polynomial from the sum;
[tex]\begin{gathered} 3x^2+7x-(x^2-2x+6) \\ =3x^2+7x-x^2+2x-6) \\ \text{rearranging;} \\ =3x^2-x^2+7x+2x-6 \\ \text{simplifying;} \\ =2x^2+9x-6 \end{gathered}[/tex]
Therefore, the polynomial that must be added is;
[tex]2x^2+9x-6[/tex]
