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Polynomial Functions Introduction

Investigating Polynomial Functions

Polynomial Division

Remainder & Factor Theorems

Polynomial Equations

Polynomial Inequalities

Rational Functions

Review&Test

 

jdsmathnotes

 

 


 UNIT 4 : POLYNOMIAL FUNCTIONS

 LESSON 3: POLYNOMIAL DIVISION

 

The zeros of a polynomial function are easy to find if the function is in factored form. However if the function is in standard form, we

must be able to write it in factored form in order to find the zeros. This is done by a theorem which is called the Factor Theorem. In

order to use the factor theorem, we must first learn how to divide polynomials.

 

Text Box: Division Algorithm
 

 

 

 

 

 

 


Long Division of Polynomials

 

Check using the division algorithm above:

 

Note: If the remainder is zero as in example 1 above then the divisor is a factor of the dividend.

 

 

 

Check using the division algorithm above:

 

 

Division of Polynomials using Synthetic Division

If the divisor is linear of the form x a, then this method may be used.

 

 

 

 

 

 

 

 

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