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Chapter 4: Q. 44 (page 194)

In Problems 41鈥� 48, form a polynomial function whose real zeros and degree are given. Answers will vary depending on the choice of a leading coefficient.

Zeros:-4,0,2,degree3

Short Answer

Expert verified

The polynomial function is fx=x3+2x2-8xwith degree 3.

Step by step solution

01

Step 1. Given Information

The zeros of the polynomial are-4,0,2and degree is 3

02

Step 2. Forming the polynomial function

If ris a real zero of polynomial function, then x-ris factor of f.This means that

x--4=x+4and x-0,x-2are factors of f. As a result, any polynomial function is of the formfx=ax+4x-0x-2fx=xx+4x-2

03

Step 3. Solving Polynomial Function

fx=xx+4x-2fx=xx2+2x-8fx=x3+2x2-8x

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Most popular questions from this chapter

True or False : A test number for the interval-2<x<5could be 4.

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