5 5 Polynomials 1 2 3 Goals To

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5. 5 Polynomials • 1. 2. 3. Goals: To identify a polynomial and its

5. 5 Polynomials • 1. 2. 3. Goals: To identify a polynomial and its types To identify terms, coefficients To identify the degree of the poly

Monomial Polynomials A Polynomial is a monomial, or a sum of monomials 3 x

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

Review: What is a monomial? • • • 1 term Number Variable Number &

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,

Is the term a polynomial? If so, say whether it is a monomial, binomial, or trinomial. y 2 + 2 y 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,

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,

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

Left/ Right – 4 Squares Activity

Polynomials are classified by their degrees (exponents) x² +3 x -5 2 x -7

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

Degree The Degree of the term is the sum of the exponents of the

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. - 63

Identify the degree of each term and the degree of the polynomial. - 63 x 2 y 3 – 16 xy 5 + y 4 5 th deg 6 th deg 4 th deg This is a 6 th 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. 9 x

Identify the degree of each term and the degree of the polynomial. 9 x 6 y 5 – 7 x 4 y 3 + 3 xy 4 11 th deg 7 th deg 5 th deg This is a 11 th 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.

9 x 6 y 5 – 7 x 4 y 3 + 3 xy

9 x 6 y 5 – 7 x 4 y 3 + 3 xy 4 • Leading term is the term that has the highest degree in the poly • Ex: 9 x 6 y 5 • Leading coefficient is the coefficient of the leading term. • Ex: 9

Hold up the degree of the polynomial with your appropriate fingers

Hold up the degree of the polynomial with your appropriate fingers

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

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