Objectives Add and Subtract polynomials Use polynomials to

Objectives: Add and Subtract polynomials Use polynomials to model real-life situations

� Polynomial: a monomial or the sum or difference of two or more monomials. (exponents are nonnegative integers) � Standard form: the form of a polynomial that places the terms in descending order by degree � Degree of a monomial: the sum of the exponents of the variables of each term � Degree of Polynomial: the highest degree of any term of the polynomial � Leading Coefficient: the coefficient of the first term of a polynomial written in standard form

� Classified by number of terms: � Classified by degree: � Constant � Monomial � Binomial is one term is two terms � Trinomial is three terms � Polynomial terms is four or more is a single number with degree 0 � Linear is a polynomial of degree 1 � Quadratic is a polynomial of degree 2 � Cubic is a polynomial of degree 3 � Quartic is a polynomial of degree 4

Polynomial Degree Leading Classify by Coefficient Degree Classify by terms

� To add or subtract polynomials, add or subtract the like terms and write the answer in standard form. � To add or subtract polynomials, you group like terms and add their coefficients. � EX:

� Projected from 1950 through 2010, the total population P and the male population M of the United States (in thousands) can be modeled by the following equations, where t is the number of years since 1950 � TOTAL population model: MALE population model: � � Find a model that represents the female population F of the United States from 1950 to 2010.

20 questions