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Exponents Remember if you are multiplying numbers with the same base, then ADD the exponents together. Examples:
We will learn how to multiply the following: -A monomial and a polynomial - A monomial by a monomial - A monomial by a binomial - A monomial by a trinomial
Multiplying a Monomial by a Monomial
Multiplying a Monomial and a Binomial Note that a (monomial)(binomial) = binomial (1)(2) = 2
Multiplying a Monomial and a Trinomial Note that a (monomial)(trinomial) = trinomial (1)(3) = 3
Try the following: A) 5m 3 (2m + 7) B) – 2x 4 (3x 2 + 2x – 5) C) – 4y 2 (3y 3 + 22y 2 – 4y + 8) A) 10m 4 + 35m 3 B) – 6x 6 – 4x 5 + 10x 4 C) – 12y 5 – 88y 4 + 16y 3 – 32y 2
Add or subtract 1. (x 2 + 4x – 1) + (5x 2 – 6x + 4) 2. (5y 2 – 9y + 1) – (7y 2 – 8y – 6) Find the product 3.(x – 6)(3x + 4) 4.(2x + 5)(3x + 4) 6x 2 – 2x.
Vocabulary Lesson 10.1 Algebra Objective: I will be able to identify a polynomial and determine its degree.
5.2 Multiplying Polynomials. To Multiply Polynomials Each term of one polynomial must be multiply each term of the other polynomial.
Pg. 15 #37-42, 46-49,53, 55. Learning Target: I will recognize the types of polynomials and multiply them together to get a single polynomials. Learning.
© 2007 by S - Squared, Inc. All Rights Reserved.
Naming Polynomials Add and Subtract Polynomials Multiply Polynomials
Polynomials Objective: find the degree of a polynomial. Arrange the terms of a polynomial in ascending or descending order.
Polynomials – Things to remember By: Noelle Carden.
1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 5-1 Polynomials and Polynomial Functions Chapter 5.
We use the acronym below to multiply two binomials. F – O – I – L – FIRST OUTSIDE INSIDE LAST.
5.3Product of Two Binomials. Remember! Powers/Exponents: Distributing:
How do you perform operations with polynomials? Section P4 (old text)
Section 6.2 and 6.3 Polynomials -- A function with several terms that are added or subtracted together, such as: 5x 4 + 3x 3 – 10x x – 9 10x 5 –
5-2 Polynomials Objectives Students will be able to: 1)Add and subtract polynomials 2)Multiply polynomials.
13.01 Polynomials and Their Degree. A polynomial is the sum or difference of monomials. x + 3 Examples: Remember, a monomial is a number, a variable,
Laws of Exponents Tammy Wallace Varina High. What is a monomial? number variable Product of a number and variables.
Multiplying Polynomials *You must know how to multiply before you can factor!”
Multiplying Polynomials. To multiply exponential forms that have the same base, we can add the exponents and keep the same base.
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