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 $f(x) + a\cdot g(x)$?

Algebra ->  Functions -> 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 $f(x) + a\cdot g(x)$?      Log On


   



Question 1043190: 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 $f(x) + a\cdot g(x)$?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Since a constant doesn't affect the degree of a polynomial, the degree does not change.
The sum of a 4th degree polynomial and a 4th degree polynomial would also be a 4th degree polynomial.