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 | 2x^{2} –7, , x^{2} +1+ 3y |
3. | Three | Cubic | x^{3} + 3x^{2} –7x+8, 2x^{2}+5x^{3}+7, |
4. | Four | bi-quadratic | x^{4} + y^{4} + 2x^{2}y^{2}, x^{4} + 3,… |
(ii) Based on Terms :
If number of terms in polynomial is
Examples | |||
1. | One | Monomial | 7x, 5x^{9}, 3x^{16}, xy, …… |
2. | Two | Binomial | 2 + 7y^{6}, y^{3} + x^{14}, 7 + 5x^{9},… |
3. | Three | Trinomial | x^{3} –2x + y, x^{31}+y^{32}+ z^{33},….. |
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
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