- Find all possible rational zeros of a polynomial function using the Rational Zero Test.
- Find all real zeros of a polynomial function algebraically.
- Approximate the real zeros of a polynomial function using the Intermediate Value Theorem.
- Approximate the real zeros of a polynomial using a graphing utility.
- Write the equation of a polynomial given its roots and a point on the graph.
Right now the best place to find information about real zeros of polynomials , the Rational Zero Test, and the Intermediate Value Theorem are your text book.
Rational Root Test On-line Notes
Additional Rational Root Test On-line Resources:
- Purplemath - Your Algebra Resource: Rational Root Test Lesson
- Mathematics Help Central: The Rational Zeros Test and Theorem
- SOS Math: Rational Zeros of Polynomials
- Real
Zeros of Polynomial Functions
- ASU First Year Math Getting to the Root of the (Polynomial) Matter
- Purplemath - Your Algebra Resource: Solving Polynomials Lesson
Additional Algebraically Finding All Real Zeros On-line Resources:
Intermediate Value Theorem Notes
- Read the information in your text book
(page 315 in College Algebra 3rd edition by Stewart, Redlin,
and Watson)
Additional Intermediate Value Theorem On-line Resources:
Graphically Finding All Real Zeros On-line Notes
- Graphing Calculator Resources (look for how to find x-intercepts)
Finding the Polynomial Function from a Graph On-line Notes
Additional Finding the Polynomial Function from a Graph On-line Notes
- ASU First Year Math From Roots and a Point to a Polynomial
- Purplemath - Your Algebra Rexource: Finding Polynomials from Their Zeros Lesson - I
- Purplemath - Your Algebra Rexource: Finding Polynomials from Their Zeros Lesson - II
- Linear
Factors and Zeros of Polynomials
Real Zeros of Polynomials Homework:
The Real
Zeros of Polynomials Homework
contains 5 problems.
Things to remember:
Keep in mind that it is recommended that you also complete all the problems in the set called "also recommended" with the same number as the Real Zeros of Polynomials Homework. There are many different ways to ask the same questions. This will allow you to see additional problems that are related to this topic.
© 2005 Elizabeth E. K. Jones and the ASU Department of
Mathematics and Statistics - All rights reserved.
Things to remember:
- You can use either the Rational Root Test AND synthetic division or your calculator AND synthetic division to start the algebraic process of finding all the real roots.
- Exact answers mean that you need to leave fractions as fractions and square roots of numbers as square roots of the number. Do not change things into decimals and round.
- For problem 4 in
Homework_13-also-recommended, a hemisphere is half of a sphere.
Example 1: similar to problem 1 Example 2: simliar to problem 5 Example 3: similar to problems 3 and 4 Example 4: similar to problems 3 and 4
Keep in mind that it is recommended that you also complete all the problems in the set called "also recommended" with the same number as the Real Zeros of Polynomials Homework. There are many different ways to ask the same questions. This will allow you to see additional problems that are related to this topic.