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Chapter 4: Q. 43 (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:-3,0,4,degree3

Short Answer

Expert verified

The polynomial function isfx=x3-x2-12x

Step by step solution

01

Step 1. Given Information

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

02

Step 2. Forming polynomial Function

Ifris a real zero of a polynomial functionf,thenx-ris a factor off.This means thatx--3=x+3andx-0,x-4are factors off.As a result, any polynomial function is of the formfx=ax+3xx-4

03

Step 3. Solving the polynomial function

fx=ax+3xx-4fx=xx+3x-4fx=xx2-x-12fx=x3-x2-12x

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Most popular questions from this chapter

True or False. If the degree of the numerator of a rational function equals the degree of the denominator, then the ratio of the leading coefficients give rise to the horizontal asymptote.

Solve the inequality algebraically

(x-1)(x-2)(x-3)鈮�0

Solve each inequality algebraically.

(x-1)(x+1)x鈮�0

Solve the inequality algebraically.

x4<9x2

One solution of the equation x3+5x2+5x-2=0 is -2.

Find the sum of the remaining solutions.
See all solutions

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