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**Day 1 – Polynomials Multiplying Mrs. Parziale**

Factoring Unit Day 1 – Polynomials Multiplying Mrs. Parziale

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**Introducing Polynomials**

Term Definition Monomial Is a number, a variable, or a product of a number and one or more variables with whole number exponents. x x2y Polynomial Is a monomial or a sum of monomials 4x x2 + 4x + 5 Binomial A polynomial with 2 terms x – y2 + 8 Trinomial A polynomial with 3 terms x2 – 3x + 10

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Definitions Degree of a polynomial – the highest sum of exponents for any one monomial of the polynomial. Find the degree of the given polynomial.

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More Definitions The leading coefficient of a polynomial is the coefficient of the variable with the ____________ exponent. The constant term of a polynomial is the term __________________. largest without a variable

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**Yet Another Definition**

Standard form of a polynomial is when the terms are written so that the exponents on the variables decrease from left to right.

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Try These Write the polynomial in standard form. Identify the leading coefficient and constant terms of each.

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**Multiplication of Polynomials**

Part 1: Monomial x Monomial

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**Part 2: Monomial x Polynomial**

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**Part 3: Binomial x Binomial**

Distribute, then combine like terms (FOIL)

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**Part 4: Polynomial x Polynomial**

Use the distributive property.

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**Multiplying Special Polynomials**

Special Product #1: Sum and Difference of 2 Terms What is the pattern? (a + b)(a – b) = ___________

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**Multiplying Special Polynomials**

4. Special Product #2: The Square of a Binomial What is the pattern? (a + b)2 = _______________ What is the pattern? (a - b)2 = _______________

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**Closure What is the degree of a polynomial?**

What is a monomial, binomial, trinomial, polynomial? How do you multiply polynomials? How do you multiply special polynomials, such as:

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