Let f(x) = x^4-3x^2 + 2 and g(x) = 2x^5 - 6x^2 + 2x -1. Let b be a constant. What is the smallest possible degree of the polynomial f(x) + b* g(x)?
This is a very simple question.
If you know what a degree is then you can work it out for yourself.
The degree is the highest power of x.