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 Polynomials4.
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: