8.1 ADDING AND SUBTRACTING POLYNOMIALSTo classify, add, and subtract polynomials.

MONOMIALS A real number, variable, or product of numbers

and variables. A single term

No addition or subtraction Examples:

18 Z -4x2

2.5xy

DEGREE OF A MONOMIAL Sum of the exponents of its variables

Degree of a constant with no variables is 0

Ex: 5x

Degree 1 6x3y2

Degree 5 4

Degree 0

POLYNOMIALS Monomial or sum of monomials Terms separated by addition or

subtraction Ex: Standard form of a polynomial is

when the polynomial is arranged so that the degrees of each monomial decrease from left to right.

DEGREE OF A POLYNOMIAL Degree of the monomial with the highest

degree. Ex: what is the degree of the polynomial?

4 Polynomials are named according to

number of terms.

PRACTICE Write the polynomial in standard form.

Place in order: Combine like terms: What is the degree?

3 How many terms?

3 This is a cubic trinomial.

ADDING POLYNOMIALS Add vertically: Line up like terms then add coefficients.

Or add horizontally: Group like terms then add coefficients.

SUBTRACTING POLYNOMIALS Subtract vertically: Line up like terms and subtract.

Change all signs like with elimination.

Subtract horizontally: Distribute the negative then group like

terms.

ASSIGNMENT Odds p. 489 #9 - 43