polynomials

Monomial

An algebraic expression made out of constants or variables that are raised to positive integer powers. One term, but can contain more than one variable

What can a monomial NOT be

The variable can not be in the exponent, the variable can not be in the denominator, and the variable can not have a negative exponent

Polynomial

A sum of monomials

Binomial

A polynomial with only two terms

Trinomial

A polynomial with three terms

Degree

A polynomials degree is the greastest degrees of its terms. Basically the highest number of what term is raised to

The degree of a constant term

Is zero

To rearrange polynomials

Put the terms in order of degree

Will dividing polynomials still make a polynomial?

No, since there will be a denominator in the variable

Closure property

Deems that any operation, besides division, done between two polynomials will result in a polynomial. Same goes with integers

How to add polynomials?

Add like terms and put in descending order

FOIL

The method used to multiply ONLY binomials. First terms, outer terms, inner terms, and then last terms

When the binomial is squared,

Just multiply the binomial by itself

When multiplying trinomials

it’s best to use the distributive property or vertically