SOLUTION: Let f(x) = x^3 + 3x ^2 + 4x - 7 and g(x) = -7x^4 + 5x^3 + x^2 - 7. What is the coefficient of x^3 in the sum f(x) + g(x)?

Algebra ->  Equations -> SOLUTION: Let f(x) = x^3 + 3x ^2 + 4x - 7 and g(x) = -7x^4 + 5x^3 + x^2 - 7. What is the coefficient of x^3 in the sum f(x) + g(x)?      Log On


   

Question 1031366: Let f(x) = x^3 + 3x ^2 + 4x - 7 and g(x) = -7x^4 + 5x^3 + x^2 - 7. What is the coefficient of x^3 in the sum f(x) + g(x)?
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!

Line the like terms up in columns like this and then
just add the terms:

       f(x) =         x³ + 3x² + 4x -  7
       g(x) = -7x⁴ + 5x³ +  x²      -  7
f(x) + g(x) = -7x⁴ + 6x³ + 4x² + 4x - 14

What is the coefficient of x^3 in the sum f(x) + g(x)?
Look and see.

Edwin