SOLUTION: 3. Let $f(x) = x^4-3x^2 + 2$ and $g(x) = 2x^4 - 6x^2 + 2x -1$. Let $b$ be a constant. What is the smallest possible degree of the polynomial $f(x) + b\cdot g(x)$?

Question 1091540: 3. Let $f(x) = x^4-3x^2 + 2$ and $g(x) = 2x^4 - 6x^2 + 2x -1$. Let $b$ be a constant. What is the smallest possible
degree of the polynomial $f(x) + b\cdot g(x)$?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The constant has no effect on the degree of the polynomial.
The degree will be the larger of the degrees of the individual polynomials.

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