Key Concepts & Glossary
Key Equations
Division Algorithm | where |
Key Concepts
- Polynomial long division can be used to divide a polynomial by any polynomial with equal or lower degree.
- The Division Algorithm tells us that a polynomial dividend can be written as the product of the divisor and the quotient added to the remainder.
- Synthetic division is a shortcut that can be used to divide a polynomial by a binomial in the form x – k.
- Polynomial division can be used to solve application problems, including area and volume.
Glossary
- Division Algorithm
- given a polynomial dividend and a non-zero polynomial divisor where the degree of is less than or equal to the degree of , there exist unique polynomials and such that where is the quotient and is the remainder. The remainder is either equal to zero or has degree strictly less than .
- synthetic division
- a shortcut method that can be used to divide a polynomial by a binomial of the form x – k