Types Of Polynomials
(i) Based on degree :
If degree of polynomial is
| Examples | |||
| 1. | One | Linear | x + 3, y – x + 2, √3x –3 |
| 2. | Two | Quadratic | 2x2 –7, \(\frac{1}{3}{{\text{x}}^{2}}+{{\text{y}}^{2}}-2\text{xy}\), x2 +1+ 3y |
| 3. | Three | Cubic | x3 + 3x2 –7x+8, 2x2+5x3+7, |
| 4. | Four | bi-quadratic | x4 + y4 + 2x2y2, x4 + 3,… |
(ii) Based on Terms :
If number of terms in polynomial is
| Examples | |||
| 1. | One | Monomial | 7x, 5x9, 3x16, xy, …… |
| 2. | Two | Binomial | 2 + 7y6, y3 + x14, 7 + 5x9,… |
| 3. | Three | Trinomial | x3 –2x + y, x31+y32+ z33,….. |
Note:
(1) Degree of constant polynomials (Ex.5, 7, –3, 8/5, …) is zero.
(2) Degree of zero polynomial (zero = 0 = zero polynomial) is not defined.
Read More:
- What is a Polynomial?
- Monomials, Binomials, and Polynomials
- Adding Polynomials
- Subtracting Polynomials
- Dividing Polynomials
- Polynomials – Long Division
- Degree (of an Expression)
- Special Binomial Products
- Multiplying Binomials
- Difference of Two Cubes
- Polynomial Remainder Theorem
- Factoring in Algebra
- Factorization of Polynomials Using Factor Theorem
- How do you use the factor theorem?
- How to factorise a polynomial by splitting the middle term?
- Review Factoring Polynomials
- Zeros of a Polynomial Function
- Factors and Coefficients of a Polynomial
- Roots of Polynomials: Sums and Products
- Review Factoring Polynomials
- Solving Polynomial Equations of Higher Degree
- Examining Graphs of Polynomial Equations of Higher Degree