Answer
The Taylor polynomial is a part of the Taylor series
Work Step by Step
The Taylor series for a function $f$ centered at $a$ is:
$f(x)=f(0)+\dfrac{f'(a)}{1!}x+\dfrac{f''(a)}{2!}x^2+......$
The Taylor polynomial of degree $n$ is:
$p_n(x)=f(0)+\dfrac{f'(a)}{1!}x+\dfrac{f''(a)}{2!}x^2+......+\dfrac{f^{n}(a)}{n!}x^2$
Therefore the Taylor polynomial is a part of the Taylor series.
