Answer
True
Work Step by Step
True.
Let $p(x)=a_0x^n+a_1x^{n-1}+...+a_{n-1}x+a_n$
This is a polynomial of degree $n$ with the derivative $p'(x)=a_0nx^{n-1}+a_1(n-1)x^{n-2}+...+a_{n-1}$ which is also a polynomial of degree $n-1$.
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