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Day 1 – Polynomials Multiplying Mrs. Parziale

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1 Day 1 – Polynomials Multiplying Mrs. Parziale
Factoring Unit Day 1 – Polynomials Multiplying Mrs. Parziale

2 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

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

4 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

5 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.

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

7 Multiplication of Polynomials
Part 1: Monomial x Monomial

8 Part 2: Monomial x Polynomial

9 Part 3: Binomial x Binomial
Distribute, then combine like terms (FOIL)

10 Part 4: Polynomial x Polynomial
Use the distributive property.

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

12 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 = _______________

13 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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