Let $f(x) = x^3 + 3x^2 + 4x - 7$ and $g(x) = 2x^8 - 8x^7 + 4x^6 - x^5$. What is the coefficient of $x^2$ in the sum $f(x) + g(x)$?
When we add f(x) and g(x), we get 2x8−8x7+4x6−x5+x3+3x2+4x−7. The coefficient would be 3.
However, notice that the coefficient stays the same in f(x). This is because g(x) doesn't have a term with x^2, so our asnwer is the same coefficient as in f(x).
Thanks! :)