Let f(x) = x^3 + 3x^2 + 4x - 7 and g(x) = -7x^4 + x^3 + 5x^2 - 7. What is the coefficient of x^3 in the sum f(x) + g(x)?
Add f(x) and g(x) by combining like terms.
f(x)+g(x)=(x3+3x2+4x−7)+(−7x4+x3+5x2−7)
−7x4+2x3+8x2+4x−14
The coefficient of the x^3 term is 2.