SOLUTION: Let f(x) = x^4-3x^2 + 2 and g(x) = 2x^4 - 6x^2 + 2x -1. Let a be a constant. What is the largest possible degree of f(x) + a* g(x)?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Let f(x) = x^4-3x^2 + 2 and g(x) = 2x^4 - 6x^2 + 2x -1. Let a be a constant. What is the largest possible degree of f(x) + a* g(x)?      Log On


   

Question 1165960: Let f(x) = x^4-3x^2 + 2 and g(x) = 2x^4 - 6x^2 + 2x -1. Let a be a constant. What is the largest possible degree of f(x) + a* g(x)?
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.

The largest possible degree is 4.

You can not get larger degree than 4, adding these polynomials.