Let \(f(x) = x^4-3x^2 + 2 \) and g(x)=2x^4-6x^2+2x-1. Let a be a real number. What is the largest possible degree of f(x)+a*g(x)
And then after that, solve for the smallest possible degree.
The largest possible degree is 8. The smallest possible degree is 3. Hope this helps!