5.5 Polynomials Goals: 1. To identify a polynomial and its types

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Presentation transcript:

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

Mono__________________ Bi______________________ Tri_____________________ Poly______________________

Monomial  Polynomials A Polynomial is a monomial, or a sum of monomials 3x2 + 2x - 5 5x + 3 Trinomial Binomial

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

Binomial, since it has two TERMS Is the term a polynomial? If so, say whether it is a monomial, binomial, or trinomial. y2 + 2y Binomial, since it has two TERMS “terms” are added, “factors” are multiplied

“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

YES, trinomial since it has 3 terms 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.

Left/ Right – 4 Squares Activity

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

Degree 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.

Identify the degree of each term and the degree of the polynomial. - 63x2y3 – 16xy5 + y4 6th deg 5th deg 4th deg This is a 6th degree polynomial. 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.

Identify the degree of each term and the degree of the polynomial. 9x6y5 – 7x4y3 + 3xy4 7th deg 11th deg 5th deg This is a 11th degree polynomial. 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.

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

Hold up the degree of the polynomial with your appropriate fingers

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