Exploring Adding and Subtracting Polynomials

A quotient of numbers and variables

A sum of numbers and variables

A product of numbers and variables with whole number exponents

A difference of numbers and variables

2

1

0

Depends on the variable

Trinomial

Quadrinomial

Monomial

Binomial

By the number of terms

By the number of variables

By the sum of all coefficients

By the degree of the term with the greatest degree

The coefficient of the term with the smallest degree

The sum of all coefficients

The constant term

The coefficient of the term with the greatest degree

Order terms from least to greatest degree

Order terms alphabetically

Order terms from greatest to least degree

Order terms by the number of variables

Subtract the coefficients

Combine all terms

Rewrite them in standard form if they are not

Distribute the coefficients

To make it easier to distribute

To ensure like terms are combined correctly

To find the degree of the polynomial

To simplify the coefficients

Add the coefficients

Distribute a negative sign to the second polynomial

Rewrite the polynomials in alphabetical order

Combine all terms

Combine all terms

Ignore the second polynomial

Change the sign of each term

Add the coefficients