Answer
$7x^{2}+11x-4$
Work Step by Step
We are asked to add the polynomials $(6x^{2}+5x+7)$ and $(x^{2}+6x-3)$.
This is equivalent to $(6x^{2}+5x+7)+(x^{2}+6x-3)$. We can combine like terms to add these polynomials together.
$(6x^{2}+x^{2})+(5x+6x)+(7-3)=7x^{2}+11x-4$