Week 1, Section 5.1 - 5.3
Week 1, Section 5.1 - 5.3 MTH 101
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This 10 page Class Notes was uploaded by Austin on Saturday September 17, 2016. The Class Notes belongs to MTH 101 at University of Rhode Island taught by Erin Denette in Fall 2016. Since its upload, it has received 4 views. For similar materials see Intro to College Algebra in Mathmatics at University of Rhode Island.
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Date Created: 09/17/16
Chapter 5 Thursday, September 8, 2016 4:02 PM Chapter 5: Exponents & Polynomials 5.1: Adding & Subtracting Polynomials Algebraic Expressions Variable - symbol used to represent a number Constant - a fixed number Algebraic Expression - a collection of constants, variables, operation symbols, and grouping symbols Simplifying Algebraic Expressions Term - a constant, variable, product, or quotient of numbers and variables (numerical part of a term) Like Terms: have the same variables raised to the same exponents Combining Like Terms Distributive Property in Reverse 1 1 2 3 Simplify: remove all grouping symbols and combine all like terms 1 1 5.3: Multiplying Polynomials Monday, September 12, 2016 12:34 PM Monomial - a polynomial consisting of one term Binominal - a polynomial consisting of two terms To multiply a monomial by a polynomial, use the distributive law: Ex. Find each product. i ii To multiply a binomial by a polynomial we still use the distributive law i To multiply a polynomial times a polynomial, multiply each term of the second polynomial by each term of the first polynomial and add the resulting products together. Ex. Multiply i ii Ex. Multiplying Polynomials with the Rectangle Method i Ex. Multiply Two Binomials Using F.O.I.L. 5.1: Adding & Subtracting Polynomials Friday, September 09, 2016 12:09 PM Not Polynomials: To add two polynomials, combine like terms. Ex. Add: i i To subtract two polynomials, use the distributive law first and then combine like terms Ex. Subtract: i Adding/Subtracting Multivariable Polynomials Ex. Add/Subtract i i Evaluating a Polynomial 3 Ex. Find the value of 2x +8x-6 for i i 5.2: Product & Power Rules for Exponents Monday, September 12, 2016 12:05 PM Recall - The exponential expression: Rules for Exponents: Product Rules Power Rules Ex. Find each product or quotient. i. ii. iii. iv. v. vi. vii. viii. ix.
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