+25 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 \(f(x) \cdot g(x)?\)
