5.5 Polynomials Goals: 1. To identify a polynomial and its types 2.To identify terms, coefficients 3.To identify the degree of the poly.

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Presentation transcript:

5.5 Polynomials Goals: 1. To identify a polynomial and its types 2.To identify terms, coefficients 3.To identify the degree of the poly

Mono__________________ Bi______________________ Tri_____________________ Poly______________________

Monomial  Polynomials A Polynomial is a monomial, or a sum of monomials 5x + 3 3x 2 + 2x - 5 Binomial Trinomial

Review: What is a monomial? 1 term Number Variable Number & Variable Multiplied Exponent (as long as the exponent is a whole number, no fraction, no decimal and no negative exponents allowed for a mono) No variables in the denominator No + or - signs

Is the term a polynomial? If so, say whether it is a monomial, binomial, or trinomial. y 2 + 2y Binomial, since it has two TERMS “terms” are added, “factors” are multiplied

Is the term a polynomial? If so, say whether it is a monomial, binomial, or trinomial. No “terms” are added, “factors” are multiplied

Is the term a polynomial? If so, say whether it is a monomial, binomial, or trinomial. YES, trinomial since it has 3 terms Numeric factor of a term is called the coefficient.

Polynomials are classified by their degrees (exponents) x² +3x -5 Quadratic Ch 6 and 13 2x -7 Linear Ch 3 and 7

The Degree of the term is the sum of the exponents of the variables. The Degree of a polynomial is the highest degree of any term. Degree

Identify the degree of each term and the degree of the polynomial. - 63x 2 y 3 – 16xy 5 + y 4 The Degree of a term is the sum of the exponents of the variables. The Degree of a polynomial is the highest degree of any term. This is a 6 th degree polynomial. 5 th deg 6 th deg 4 th deg

Identify the degree of each term and the degree of the polynomial. 9x 6 y 5 – 7x 4 y 3 + 3xy 4 The Degree of a term is the sum of the exponents of the variables. The Degree of a polynomial is the highest degree of any term. This is a 11 th degree polynomial. 11 th deg 7 th deg 5 th deg

9x6y5 – 7x4y3 + 3xy4 Leading term is the term that has the highest degree in the poly Ex: 9x6y5 Leading coefficient is the coefficient of the leading term. Ex: 9

Assignment: Page 224 (2-24, 42-46) even