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Introduction to Polynomials

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Presentation on theme: "Introduction to Polynomials"— Presentation transcript:

1 Introduction to Polynomials

2 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.

3 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.

4 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.

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

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

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19 6 -7 -2.6 -4

20 Multiplying Polynomials

21 Polynomial

22 Polynomial

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39 Multiplying Binomials

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49 Binomial Multiply with a Trinomial

50 THE END


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