2a. Let \( f(x) = x^4-3x^2 + 2\) and \(g(x) = 2x^4 - 6x^2 + 2x -1\). Let a be a constant. What is the largest possible degree of \(f(x) + a\cdot g(x)\)

2b.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 \(f(x) + b\cdot g(x)?\)

7a.What is the coefficient of x in \((x^4 + x^3 + x^2 + x + 1)^4 \)

qwertyzz Mar 18, 2020