+981 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 \(f(x) + b\cdot g(x)\)?
If \(a\) is the constant the the largest possible degree of \(f(x) + a\cdot g(x)\) is \(4\)
