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Chapter 4: Q. 42 (page 215)

explain why the facts given are contradictory.

f(x) is a polynomial function of degree 3 whose coefficients are real numbers; its zeros are 2, i, and 3 + i.

Short Answer

Expert verified

The degree of the polynomial is 5 and not 3.

Step by step solution

01

Given information

We are given a polynomial

f(x) is a polynomial function of degree 3 whose coefficients are real numbers; its zeros are 2, i, and 3 + i.

02

Explanation

As we are given i , 3+i are the roots of the polynomials hence by conjugate properties -i ,3-i are also the roots of the polynomial Hence we have 5 roots of the polynomial and degree of the polynomial becomes 5 not 3

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