Question

write all the types of polynomials and its general form??????????????????????????

Answer 1

Polynomial equations are the expressions that contain monomial, binomial, trinomial and also the higher order polynomials. The form of an monomial is expression is a(xn) where, n is non-negative integer. The variable ‘a’ is called as coefficient of xn and n is the degree of the monomial. Based on the n value, monomial is called as monomial (when n = 1), two degree polynomial (when n = 2) and three degree polynomial (when n = 3).

Examples:

Monomial = x2

Binomial = 3x2 + 2x

Trinomial = 5x4 + 3x2 + 8

Zero polynomial = When all the coefficient of polynomial is zero.

Degree of Polynomial

The degree of a polynomial is the highest degree of the terms.

Example: x2, x is the base and 2 is the exponent. 

The degree of the polynomial x2 = 2.

Classifying PolynomialsBack to Top
Polynomials are classified according to the number of terms and the degree. The degree of a polynomial is the largest exponent. The polynomials are classified by the number of terms, monomial (one term), binomial(two terms) etc.

PolynomialClassified by termsClassified by degrees
xMonomial1st degree (Linear)x2 - 4xBinomial2nd degree (Quadratic)x3 + 5x - 4Trinomial3rd degree (Cubic)

Answer 2

a1x^n+a2x^n-1 +...a(n-1)