Polynomials and its properties-Extended college algebra

polynomials

1. Polynomials Sugiri Aryanto, M.Si .

2. What is Polynomial? General formula : is the variable are the constants, called the coefficients of the polynomial is integer called degree of the polynomial is the leading coefficient  

3. Examples :

4. Operations on Polynomials Add and Subtract Polynomials Polynomials are added and subtracted by combining like terms. Example :  

5. Operations on Polynomials Multiply Polynomials Two polynomials may be multiplied using the laws of exponents and the commutative, Associative, and distributive Properties. Example :  

6. Some Special Products Form  

7. Some Special Products Form Examples :  

8. Operations on Polynomials Divide Polynomials using long division When polynomial with degree is divided by other polynomial with degree , then there exist polynomials and such that Where is the quotient, is the remainder Note that the degree of must be , and the degree of must be less than  

9. Example

10. Work with Polynomials in Two Variables

11. Examples