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Chapter 4: Q. 25 (page 194)

In Problems 15鈥�26, determine which functions are polynomial functions. For those that are, state the degree. For those that are not, tell

why not.

G(x)=2(x-1)2(x2+1)

Short Answer

Expert verified

Gis a polynomial function of degree4.

Step by step solution

01

Given information

G(x)=2(x-1)2(x2+1)

02

Calculation

G(x)=2(x-1)2(x2+1)=2(x2-2x+1)(x2+1)=2{x2(x2-2x+1)+1(x2-2x+1)}=2{(x4-2x3+x2)+x2-2x+1}=2(x4-2x3+2x2-2x+1)=2x4-4x3+4x2-4x+2

Gis a polynomial function of degree 4

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