Solving Polynomial Inequalities

Solving Polynomial Inequalities

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

This video tutorial demonstrates how to solve polynomial inequalities using a table method. It begins with factoring the polynomial and setting up a table to analyze the sign changes across different intervals. The video explains how to determine where the polynomial is positive or negative and how to represent the solution using intervals. An advanced example is provided to reinforce the method.

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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary goal when solving a polynomial inequality using a table?

To graph the polynomial

To simplify the polynomial into a single term

To determine where the polynomial is positive or negative

To find the exact roots of the polynomial

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving a polynomial inequality?

Setting the polynomial equal to zero

Finding the derivative of the polynomial

Breaking the polynomial into its factors

Graphing the polynomial

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to place the zeros on a number line?

To find the maximum and minimum points

To determine the degree of the polynomial

To visualize the intervals for testing

To calculate the polynomial's derivative

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you do after identifying the zeros of the polynomial?

Combine all factors into a single term

Graph the polynomial

Test values around the zeros

Set each factor less than zero

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you determine the sign of a polynomial in an interval?

By calculating the derivative

By testing a value within the interval

By finding the polynomial's degree

By graphing the polynomial

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the solution to a polynomial inequality?

The intervals where the polynomial is negative or positive

The points where the polynomial is zero

The maximum and minimum points of the polynomial

The derivative of the polynomial

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the complex example, what is the first step after writing the inequality?

Finding the derivative

Setting the polynomial equal to zero

Factoring the polynomial

Graphing the polynomial

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