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

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.Com

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) (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.
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