A polynomial is a combination of variables, exponents and constants. The combination may be addition, subtraction or multiplication, but not division.
Exponent is a variable raised to a power.
a, b are called coefficients – positive or negative numbers
x is a variable
c is a constant – a positive or negative number
The quantities separated by the + or – sign are called terms. A term is also called a monomial.
Exponent of the variable x in the first term is 2 (a positive number). Negative exponents do not make a polynomial.
1. The variable in the expression must not be in the denominator.
2. Variable cannot have a negative exponent.
3. The variable cannot be inside a radical such as a square root.
A polynomial with one term is called a monomial, also known as univariate.
A polynomial with two terms is called a binomial, also known as bivariate.
A polynomial with three terms is called a trinomial, also known as trivariate.
Degree of a polynomial:
The example polynomial is a 2-degree polynomial; it is also called a quadratic.
the exponent of a term indicates the degree of the polynomial.