What Are Polynomials?
A polynomial is defined as the mathematical statement that has two or more algebraic terms. These terms have variables that are raised to different powers or exponents. Essentially, polynomials do not have fractional exponents, radicals, negative exponents, and division of variables. Polynomials are used to represent a function when we graph a polynomial; we get a smooth and continuous line.
Polynomials contain exponents, constants, variables, coefficient, and an operator determining the type of mathematical operation. Consider the example,
5x2 + 3y - 2z + 1. Using this example, we can discuss the different parts of a polynomial.
Variables are the letters written next to the coefficients. Coefficients are the numerical values that are written in multiplication. In the above example, x, y, and z are the variables. And numbers 5, 3, and 2 are coefficients
Exponents are numbers written with the variables. These are also considered as the powers to which a variable is raised. In the above example, x2 carries an exponent 2.
Constants are considered as the numbers that are written on their own. They do not have any variable or exponent attached to them. In the above example, 1 is constant.
Operators are the mathematical operations that are to be performed on the algebraic terms. In the above example, 3y - 2z, subtraction is the operator.