Home Site Map Contact Us
Rapid Learning Member Login  
Rapid Learning Blog Rapid Learning on Facebook Rapid Learning on Youtube Rapid Learning on Twitter
 How to Learn in 24 Hours?

 Need Help?
M-F: 9am-5pm(PST):
Toll-Free: (877) RAPID-10
US Direct: (714) 692-2900
Int'l: 001-714-692-2900


24/7 Online Technical Support:
The Rapid Support Center

Secure Online Order:
Buy Now

 

 Got Questions?
Frequently Asked Questions
 Need Proof?
Testimonials by Our Users

Trustlink is a Better Business Bureau Program.
Rapid Learning Center is a fivr-star business.

External TrustLink Reviews




 Member Login:
User ID: 
Password: 
 

 Rapid Learning Courses:

Chemistry in 24 Hours

Biology in 24 Hours

Physics in 24 Hours

Mathematics in 24 Hours

Psychology in 24 Hours

SAT in 24 Hours

ACT in 24 Hours

AP in 24 Hours

CLEP in 24 Hours

MCAT in 24 Hours (Medical)

USMLE in 24 Hours (Boards)

DAT in 24 Hours (Dental)

OAT in 24 Hours (Optometry)

PCAT in 24 Hours (Pharmacy)

Nursing Entrance Exams

Certification in 24 Hours

eBook - Survival Kits

Audiobooks (MP3)


 Tell-A-Friend:
Have friends taking science and math courses too? Tell them about our rapid learning system.


Polynomial Functions

Topic Review on "Title":

Monomial (in one variable X):
A function of the form:,.

Polynomial:
Any finite sum of monomials of the form:

Coefficients:
The (real or complex) numbers of the form:

Constant term:
The zero coefficient is .

The product of polynomials:
The product is defined according to the rules:
1)
2) .

Degree:
The degree n is such that:

Dividing polynomials:
We say that divides if there is a polynomial such that .

Roots:
Real or complex numbers where polynomials equal to 0.

Factorization of roots:
If a polynomial of degree n has roots:  then it can be factored as: .

Fundamental theorem of algebra:
A polynomial of degree n has exactly n complex roots.

Rolle’s Theorem:
Let f(X) be a polynomial and a, b are two numbers such that and  then
there is a number c such that :


Rapid Study Kit for "Title":
Flash Movie Flash Game Flash Card
Core Concept Tutorial Problem Solving Drill Review Cheat Sheet

"Title" Tutorial Summary :

This tutorial shows the sum and product of polynomials and how their degrees are found using simplification techniques. The important aspects of polynomials are presented in the examples. The division and factoring of polynomials is shown by techniques shown in the examples.

The principles of computing polynomial quotients are seen in this tutorial. The roots of polynomials and their nature are presented in the examples. Rolle’s Theorem is discussed to emphasize the importance of the polynomial roots.


Tutorial Features:

Specific Tutorial Features:
• Problem-solving techniques are used to work out and illustrate the example problems, step by step.
• Easy explanation for sometimes confusing polynomial simplification techniques
• Example showing the use of the division algorithm.

Series Features:
• Concept map showing inter-connections of new concepts in this tutorial and those previously introduced.
• Definition slides introduce terms as they are needed.
• Visual representation of concepts
• Animated examples—worked out step by step
• A concise summary is given at the conclusion of the tutorial.


"Title" Topic List:
The basic definitions of polynomials
The degree of polynomials
Division and factoring
Dividing polynomials
Methods to divide polynomials
Roots
Root factorization
Roots that are complex
Rolle’s Theorem


See all 24 lessons in Intermediate Algebra, including concept tutorials, problem drills and cheat sheets:
Teach Yourself Intermediate Algebra Visually in 24 Hours

© 2015 Rapid Learning Inc. All rights reserved         Disclaimer | Privacy Policy | Affiliates