a few questions

Find the degree of the polynomial $-2x^6 + 3x^4 + 8x^3 - 151x + 2$

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

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 smallest possible degree of the polynomial $f(x) + b\cdot g(x)?$

Let $f(x) = x^4-3x^2 + 2$ and $g(x) = 2x^4 - 6x^2 + 2x -1$. What is the degree of $f(x) \cdot g(x)?$