Introduction to Polynomials

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Presentation transcript:

Introduction to Polynomials

Polynomials and Polynomial Functions Definitions Term: a number or a product of a number and variables raised to a power. Coefficient: the numerical factor of each term. Constant: the term without a variable. Polynomial: a finite sum of terms of the form axn, where a is a real number and n is a whole number.

Polynomials and Polynomial Functions Definitions Monomial: a polynomial with exactly one term. Binomial: a polynomial with exactly two terms. Trinomial: a polynomial with exactly three terms.

Polynomials and Polynomial Functions Definitions The Degree of a Term with one variable is the exponent on the variable. The Degree of a Term with more than one variable is the sum of the exponents on the variables. The Degree of a Polynomial is the greatest degree of the terms of the polynomial variables.

Polynomials and Polynomial Functions Practice Problems Identify the degrees of each term and the degree of the polynomial.

Polynomials and Polynomial Functions Practice Problems Evaluate each polynomial function 1. Given : ; find : 2. Given : ; find :

. . . . . . . . . .

6 -7 -2.6 -4

Multiplying Polynomials

Polynomial

Polynomial

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:

:

:

Multiplying Binomials

Binomial Multiply with a Trinomial

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