Polynomials definition and examples.
A polynomial example:
In the example, two terms are combined using addition.
In the example, the four terms are combined using addition. All the terms are monomials.
Here two monomials are combined using addition. The exponents of variables can only be whole numbers: 0; 1; 2; 3; 4;...
That is why expressions like this: 2x-3 cannot be polynomials, the exponent of the variable must be a whole number.
A single variable is a polynomial, too:
the "k" is a polynomial. But where is the addition here? Here the «k» can be replaced with: k + 0.
A single number is a polynomial, too. Examples:
All the numbers are polynomials.
Is zero a polynomial? Yes, it is.
All monomials are simultaneously polynomials. Examples:
Is this expression a polynomial?
No, it is not a polynomial. Why? It is because in the second term the 6 is divided by x. Polynomials cannot have division by a variable.