# Taylor series of polynomial of degree 4

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Find the Taylor series generated by F(x)=x^4-2X^3+5X^2-6X+4 at x= -1.

A step by step solution is included to explain the concept of finding taylor series expansion of a given polynomial of degree 4 at a given ponit. The same concept can be applied to find the taylor series expansion of other polynomials and functions.

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Hi, please find the solution attached herewith.

Find the Taylor series generated by F(x) = x^4-2X^3+5X^2-6X+4 at x= -1

Solution:

The Taylor series is given by:

We are given that

F(-1)= 1+2+5+6+4 = 18

More higher derivatives will be 0.

Series will be

Â© BrainMass Inc. brainmass.com December 24, 2021, 7:19 pm ad1c9bdddf>https://brainmass.com/math/basic-algebra/taylor-series-polynomial-degree-179428