what is a polynomial

Asked by shwetarai12345678910 | 12th Oct, 2020, 06:24: AM

Expert Answer:

A polynomial is defined as an expression which is composed of variables, constants and exponents,
that are combined using the mathematical operations such as addition, subtraction, multiplication and division
[For division operation by variablea and exponents are divided by constants , no division by variables .
For example x2/2 is OK  but if (2/x) is part of expression , then the expression is not polynomial   ]
 
example :-  x,  x2 , x3   are monomials
 
example :- x + 5 , x2 + 3x + 1 ,  x3 + 4x2 + 7 ,  (x/2) + 5  are polynomials
 
in above expressions given as examples, x is variable . Numbers like 5, 1, 4, 7 and 2 are constants .
 
x2 , x3 are exponents

Answered by Thiyagarajan K | 15th Oct, 2020, 11:06: AM