Math

Solve The Problem Using Calculus Prove That The Degrees Of Two

Problem 1. Let m, n be nonnegative integers, and let ao, …, am and bo, …, bn be real numbers. Consider
the real-valued polynomial functions
m
f (x) = do +
A
ajxi
g(x) = bo +
M
bixi
j=1
j=1
You know from Calculus I that the functions f and g are differentiable. Assume that m and n are the
result.
degrees for f and g, respectively, and use what you know about derivatives to help prove the following
If f (x) = g(x) for all real numbers x, then m = n, and a; = bi for 1 lt; j lt;m.Math

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