Let f(x) = x^14 - 7x^9 - 3x^2 + 2 and g(x) = 2x^14 + 3x^10 - 6x^8 + 2x - 1. Let b be a constant. What is the smallest possible degree of the polynomial f(x) + b*g(x)?
If a is the constant the the largest possible degree of is f(x) + a*g(x)?
if b = - 1/2 the x^14 terms will 'cancel out' leaving degree 10
No matter WHAT constant 'a' equals, the degree will never be greater than 14