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