Polynomial

Polynomials

The word polynomial just means something that has many parts or terms joined together. It is a mathematical expression that uses numbers, letters, and small numbers written at the top called powers or superscripts. We will look at them deeply, but first, you must know the difference between an expression, a function, and an equation.

Expression

An expression is just a group of numbers and letters written together without any sign to show if one side is bigger or equal to another. The standard definition is: Expression: A mathematical variable with no relational operator ( =, >, <, ⩾, ⩽, ≠ ). This just means you will not see any equals sign or greater-than sign in it.

Examples of expressions are:

9x

15y-8

6Cosθ

Equation

An equation is like a balance scale because it uses a sign to compare two sides. The standard definition is: Equation: This an expression with a relational operator. This means it must have signs like equal to (=) or not equal to (≠).

Examples of equations are:

9x > 3

15y-8 = 1

6Cosθ ≠ 9Sinθ

Function

A function is a type of equation where you put in one number to get a different result. The standard definition is: Function: This an equation that can be given various input and produce output respectively. It works like a machine where what you get out depends on what you put in.