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Chapter 4: Q. 41 (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 4 + i, 4 - i, and 2 + i.

Short Answer

Expert verified

The degree of polynomial is 4 and not 3

Step by step solution

01

Given information

We are given a statement f(x) is a polynomial function of degree 3 whose coefficients are real numbers; its zeros are 4 + i, 4 - i, and 2 + i.

02

Explanation

We are given that 3+i is a root of the polynomial hence by conjugate property 3-i is also a root of the polynomial. hence we have 4 roots of the polynomial hence the degree of polynomials is 4 and not 3

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Most popular questions from this chapter

In Problems 39鈥�56, find the real zeros of f. Use the real zeros to factor f.

f(x)=2x4-3x3-21x2-2x+24

In Problems 63鈥�72, find the real solutions of each equation.

x4-2x3+10x2-18x+9=0

One solution of the equation x3-8x2+16x-3=0 is 3.

Find the sum of the remaining solutions.

Solve the inequality algebraically.

x4>x2

Analyze each polynomial function using Steps 1through 8:

f(x)=x4+x3-3x2-x+2.
See all solutions

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