/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q4. Tell whether the following state... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 7: Q4. (page 350)

Tell whether the following statement is always, sometimes or never true. Explain. A polynomial function that has four real roots is a fourth-degree polynomial.

Short Answer

Expert verified

The given statement is sometimes true.

Step by step solution

01

Step 1. Given

Given statement is: A polynomial function that has four real roots is a fourth-degree polynomial.

02

Step 2. To determine

We have to tell and explain whether the following statement is always, sometimes or never true.

03

Step 3. Calculation

We can draw an even polynomial with four real roots. For example:

This graph is of a 4th degree polynomial. And it has 4 real roots -2,-1,1,2.

We can also draw an odd polynomial with four real roots. For example:

This graph is of a 5th degree polynomial. And it has 4 real roots -2,-1,1,2.

So, the given statement is sometimes true.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

For each graph,

a. Describe the end behaviour.

b. Determine whether it represents an odd-degree or an even-degree polynomial function, and

c. State the number of real zeros.

If px=3x2-2x+5andrx=x3+x+1 then find p2a3.

If px=3x2-2x+5andrx=x3+x+1 then find rx+1-rx2.

The maximum number of regions formed by connecting (n) points of a circle can be obtained by the function fn=124n4-6n3+23n2-18n+24. What is the degree of this polynomial.

Graph each polynomial function. Estimate the x-coordinates at which the relative maxima and relative minima occur.

鈥�f(x)=x3+2x2-3x-5
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Logic and Functions

Read Explanation

Probability and Statistics

Read Explanation

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Geometry

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.