Polynomial and its Zeroes

A polynomial in one variable is an expression of the form: p(x) = a_nxⁿ+ a_n-1x^n-1+……..+ a₂x² + a₁x + a_{0 ,} where a_n ≠ 0 and a_n …. a₀ are real numbers , and n is a non-negative number.
Following are the important points about this definition 

• The numbers a₀, a₁,……… 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.

 Enter any polynomial of one variable in the input box below.
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