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

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Definitions Monomial: a polynomial with exactly one term. Binomial: a polynomial with exactly two terms. Trinomial: a polynomial with exactly three terms. 5.3 – Polynomials and Polynomial Functions

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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. 5.3 – Polynomials and Polynomial Functions

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Practice Problems Identify the degrees of each term and the degree of the polynomial. 5.3 – Polynomials and Polynomial Functions

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Practice Problems Evaluate each polynomial function 5.3 – Polynomials and Polynomial Functions

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5.4 – Polynomials and Polynomial Functions Multiplication Multiplying Monomials by Monomials Examples:

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Multiplying Monomials by Polynomials Examples: 5.4 – Polynomials and Polynomial Functions Multiplication

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Multiplying Two Polynomials Examples: 5.4 – Polynomials and Polynomial Functions Multiplication

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5.4 – Multiplying Polynomials Special Products Multiplying Two Binomials using FOIL First termsLast termsInner termsOuter terms

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Multiplying Two Binomials using FOIL First termsLast termsInner termsOuter terms 5.4 – Multiplying Polynomials Special Products

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Squaring Binomials 5.4 – Multiplying Polynomials Special Products

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Multiplying the Sum and Difference of Two Binomials 5.4 – Multiplying Polynomials Special Products

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Dividing by a Monomial 5.4 – Multiplying Polynomials Special Products

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Review of Long Division 6.4 – Dividing Polynomials Long Division

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6.4 – Dividing Polynomials Long Division

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6.4 – Dividing Polynomials Long Division

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6.4 – Dividing Polynomials Long Division

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5.7 - Factoring Polynomials Factoring Trinomials 20 is the result of the product of 4 and 5. 9 is the result of the sum of 4 and 5. Factors of 20 are:

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Factoring Trinomials Factors of 24 are:1, 24 2, 12 3, 8 4, 6 5.7 - Factoring Polynomials

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Factoring Trinomials Factors of 50 are:1, 50 2, 25 5,10 5.7 - Factoring Polynomials

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Factoring Trinomials Factors of 9 are: 1, 9 3, 3 5.7 - Factoring Polynomials

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Factoring Trinomials Factors of 12 are: 1, 12 2,6 3, 4 Factors of 2 are: 1, 2 5.7 - Factoring Polynomials

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Factoring Perfect Square Trinomials Not a perfect square 5.7 - Factoring Polynomials

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Factoring Perfect Square Trinomials 5.7 - Factoring Polynomials

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Factoring the Difference of Two Squares Not the difference 5.7 - Factoring Polynomials

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Factoring the Difference of Two Squares 5.7 - Factoring Polynomials

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Factoring the Sum or Difference of Two Cubes 5.7 - Factoring Polynomials

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Factoring the Sum or Difference of Two Cubes 5.7 - Factoring Polynomials

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Factoring the Sum or Difference of Two Cubes 5.7 - Factoring Polynomials

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Factoring the Sum or Difference of Two Cubes 5.7 - Factoring Polynomials

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End Of Presentation

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Multiplying Two Polynomials Examples: 5.4 – Polynomials and Polynomial Functions Multiplication

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Multiplying Two Polynomials Examples: 5.4 – Polynomials and Polynomial Functions Multiplication

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Multiplying Two Polynomials Examples: 5.4 – Polynomials and Polynomial Functions Multiplication

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