A polynomial in one variable is an expression of the form:
p(x) = a

Following are the important points about this definition

_{n}x^{n}+ a_{n-1}x^{n-1}+……..+ a_{2}x^{2}+ a_{1}x + a_{0 ,}where a_{n}≠ 0 and a_{n}…. a_{0}are real numbers , and n is a non-negative number.Following are the important points about this definition

- The numbers a
_{0}, a_{1},……… a_{n}are called the coefficients of the polynomial. - The degree of the polynomial p is n, the highest power of x
- A polynomial is linear , quadratic or cubic if its degree is 1,2 or 3 respectively.
- a is a zero of the polynomial if and only if p(a) = 0.
- Zeroes of a polynomial p(x) can be obtained by factorizing it.
- Graphically zero of a polynomial is the x – coordinate of point(s) where the graph of a polynomial intersects with x – axis.
- A polynomial of degree n has atmost n zeroes.

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Good Job Sir , This will help many people .

ReplyDeleteThe degree of a polynomial is the highest degree of its terms, when the polynomial is expressed in canonical form. The degree of a term is the sum of the exponents of the variables that appear in it.

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