Monomial: Monomial is a constant or variable or product of variables or variables with exponents 0, 1, 2, 3….
Example:
What is a Polynomial? Polynomial is an expression which includes constants, variables. There may be more than one variable and variables can have any real number as coefficients but variable exponents should be a whole number, that is, 0, 1, 2, 3…
Clearly, polynomial is an extension of monomial. Polynomial is an expression which involves one or more than one monomial which is separated by addition or subtraction. Each monomial in a polynomial is also called as a term.
Example:
Polynomial is a general term it can use for all expressions which satisfies above conditions. More specifically, a polynomial with one term is called as a MONOMIAL, two terms is called as a BINOMIAL and three terms is called TRINOMIAL.
Adding and Subtracting Polynomials:
How To Add Polynomials:
Adding polynomials is similar to adding variables or constants, to add two or more polynomials we have to add like terms (or monomials) in those polynomials.
Example:
Subtracting polynomials:
Subtracting polynomials is similar to subtracting variables or constants, to subtract two or more polynomials we have to subtract like terms (or monomials) in those polynomials.
Example:
How to multiply polynomials?
Multiplying Polynomials is different from adding and subtracting polynomials, here each term in one polynomial should multiply with each term in another polynomial it has nothing to do with whether they are like terms or not.
Example:
