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Types Of Polynomials

December 22, 2020 by Veerendra

Types Of Polynomials

(i) Based on degree :
If degree of polynomial is

Examples
1.One  Linearx + 3, y – x + 2, √3x –3
2.TwoQuadratic2x2 –7, \(\frac{1}{3}{{\text{x}}^{2}}+{{\text{y}}^{2}}-2\text{xy}\), x2 +1+ 3y
3.ThreeCubicx3 + 3x2 –7x+8, 2x2+5x3+7,
4.Fourbi-quadraticx4 + y4 + 2x2y2, x4 + 3,…

(ii) Based on Terms :
If number of terms in polynomial is

 Examples
1.OneMonomial7x, 5x9, 3x16, xy, ……
2.TwoBinomial2 + 7y6, y3 + x14, 7 + 5x9,…
3.ThreeTrinomialx3 –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

Filed Under: Mathematics Tagged With: Polynomials, Polynomials Examples, Types of Polynomials

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