1. Let f(x) = x^6 - 3x^2 + 2 and g(x) = 2x^6 - 6x^2 - 1. Let a be a constant. What is the largest possible degree of f(x) + a*g(x)?
2. Let f(x) = x^6 - 3x^2 + 2 and g(x) = 2x^6 - 6x^2 - 1. Let b be a constant. What is the smallest possible degree of f(x) + b*g(x)?
+36916 1) Largest possible degree would be 6 .....it could be LESS
2) if b = -1/2 the x6 terms would be gone and the x2 terms would be gone too..... degree zero
+36916 1) Largest possible degree would be 6 .....it could be LESS
2) if b = -1/2 the x6 terms would be gone and the x2 terms would be gone too..... degree zero
