What is polynomial and different types of polynomial?
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Polynomials in one variable are algebraic expressions that consist of terms in the form axn a x n where n is a non-negative (i.e. positive or zero) integer and a is a real number and is called the coefficient of the term. The degree of a polynomial in one variable is the largest exponent in the polynomial.
There are 3 types of Polynomials.
- Monomial
- Binomial
- Trinomial.
1. Monomial:
A monomial is an expression which contains only one term. For an expression to be a monomial, the single term should be a non-zero term. A few examples of monomials are:
- 5x
- 3
- 6a⁴
- -3xy
2. Binomial:
A binomial is a polynomial expression which contains exactly two terms. A binomial can be considered as a sum or difference between two or more monomials. A few examples of binomials are:
- – 5x+3,
- 6a⁴ + 17x
- xy²+xy
3. Trinomial:
A trinomial is an expression which is composed of exactly three terms. A few examples of trinomial expressions are:
- – 8a⁴+2x+7
- 4x² + 9x + 7.