6.8 Multiplying and Dividing Rational Expressions

Slides:



Advertisements
Similar presentations
10-10 Complex Rational Expressions Standard 13.0 Standard 13.0 One Key Term One Key Term.
Advertisements

Complex Rational Expressions
Pre-Calculus Notes §3.7 Rational Functions. Excluded Number: A number that must be excluded from the domain of a function because it makes the denominator.
Dividing Rational Expressions Use the following steps to divide rational expressions. 1.Take the reciprocal of the rational expression following the division.
12-3/12-4 Multiplying/Divi ding Rational Expressions SWBAT: Multiply/Divide Rational Expressions Use Dimensional Analysis with Multiplication.
Multiplying & Dividing Rational Expressions. Simplified form of a rational expression - Means the numerator and denominator have NO common factors. To.
Lesson 8-1: Multiplying and Dividing Rational Expressions
In multiplying rational expressions, we use the following rule: Dividing by a rational expression is the same as multiplying by its reciprocal. 5.2 Multiplying.
Adding, Subtracting, Multiplying, & Dividing Rational Expressions
Notes Over 9.4 Simplifying a Rational Expression Simplify the expression if possible. Rational Expression A fraction whose numerator and denominator are.
Chapter 9: Rational Expressions Section 9-1: Multiplying and Dividing Rationals 1.A Rational Expression is a ratio of two polynomial expressions. (fraction)
9.1 Multiplying and Dividing Rational Expressions ©2001 by R. Villar All Rights Reserved.
Section 9-3a Multiplying and Dividing Rational Expressions.
 Multiply rational expressions.  Use the same properties to multiply and divide rational expressions as you would with numerical fractions.
MULTIPLY and DIVIDE RATIONAL NUMBERS. MULTPILYING MIXED NUMBERS 1)Change all Mixed numbers to improper fractions 2)Simplify A) Up and Down B) Diagonally.
Rational Expressions – Product & Quotient PRODUCT STEPS : 1. Factor ( if needed ) 2. Simplify any common factors QUOTIENT STEPS : 1. Change the problem.
10/24/ Simplifying, Multiplying and Dividing Rational Expressions.
Chapter 6 Section 2 Multiplication and Division of Rational Expressions 1.
§ 7.2 Multiplying and Dividing Rational Expressions.
Complex Rational Expressions, Equations. Complex Rational Expression = fraction which will contain at least one rational expression in the numerator OR.
9.4 Multiplying & Dividing Rational Expressions. Simplifying Rational Expressions If the top and bottom have a common term, they can cancel out.
Module: 0 Part 4: Rational Expressions
Multiplying and Dividing Rational Expressions. Multiplying and Dividing Fractions Multiply Numerators Multiply Denominators Multiply by the reciprocal.
9.4 Multiplying and Dividing Rational Expressions -To multiply and divide rational expressions. -Use rational expressions to model real life quantities.
8 4 Multiply & Divide Rational Expressions
Multiplying Fractions. When we multiply a fraction by an integer we: multiply by the numerator and divide by the denominator For example, × = 54.
Multiplying AND DIVIDING RATIONAL EXPRESSIONS. Review: Multiplying fractions.
Algebra 11-3 and Simplifying Rational Expressions A rational expression is an algebraic fraction whose numerator and denominator are polynomials.
Table of Contents Dividing Rational Expressions Use the following steps to divide rational expressions. 1.Take the reciprocal of the rational expression.
8.4 Multiply and Divide Rational Expressions
Warm Up #13 1 (6x x 2 – 18x)  3x 2 (4x 2 + 9x +2)  (x+2) 3 (x )  (x + 6)
Lesson 2-5. Refresher Simplify the following expressions
Warm-up 6-1 Lesson 6-1 Simplifying Rational Expressions.
8.5-Add & Subtract Rational Expressions with Like Denominators.
Rational Expressions Simplifying (Lowest Terms) Multiplying Dividing.
To simplify a rational expression, divide the numerator and the denominator by a common factor. You are done when you can no longer divide them by a common.
Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions.
Warm-Up The variables x and y vary inversely. Use the given values to write an equation relating x and y. Then find y when x=2: x = 4, y = 3 x = 8, y.
9.1 Simplifying Rational Expressions Objectives 1. simplify rational expressions. 2. simplify complex fractions.
Objective Standard 15.0 I can use the rules of exponents and factorization to simplify the multiplication and division of rational expressions.
A or of radicals can be simplified using the following rules. 1. Simplify each in the sum. 2. Then, combine radical terms containing the same and. sumdifference.
Section 6.2 Multiplication and Division. Multiplying Rational Expressions 1) Multiply their numerators and denominators (Do not FOIL or multiply out the.
Operations on Rational Expressions MULTIPLY/DIVIDE/SIMPLIFY.
Operations on Rational algebraic expression
How do we multiply and divide Rational Expressions?
Multiplying and Dividing Rational Expressions
Simplifying Expressions
Do Now: Multiply the expression. Simplify the result.
Multiplying and Dividing Radical Expressions
Multiplying, Dividing, Adding & Subtracting Radicals
Multiplying and Dividing Rational Expressions
Bell Ringer Find the points of intersection for the following functions.
Multiplying and Dividing Expressions
Multiplying and Dividing Rational Expressions
Section 8-2: Multiplying and Dividing Rational Expressions
Multiplying and Dividing Rational Expressions
Simplify Complex Rational Expressions
(6x3 + 12x2 – 18x)  3x (4x2 + 9x +2)  (x+2) (x )  (x + 6)
Warm-Up (Fractions) Calculator Free. [1] [2] [3] [4]
Rational Expressions and Equations
Divide Rational Expressions
Multiplying and Dividing Rational Expressions
SLOT Week 11 – Day 1.
9.4 Multiplying & Dividing Rational Expressions
Unit 3: Rational Expressions Dr. Shildneck September 2014
Multiplying and Dividing Rational Expressions
Dear Power point User, This power point will be best viewed as a slideshow. At the top of the page click on slideshow, then click from the beginning.
10.3 Dividing Rational Expressions
Exercise Multiply. 5 • 7 = 35.
DIVIDE TWO RATIONAL NUMBERS
Presentation transcript:

6.8 Multiplying and Dividing Rational Expressions

multiplying When rational expressions, we use the same rules as we do for multiplying rational numbers. Theorem: For all r, s, t, and u, t and u ≠ 0,

When we. rational expressions we can. by the When we rational expressions we can by the and then use the first theorem on multiplication. Theorem: For all r, s, t, and, u, and s, t, and u ≠ 0 For either case, we can then all expression and common factors. divide multiply reciprocal factor cancel

Simplify 1.

Simplify 2.

Simplify 3.

Simplify 4.

Sometimes you may need to find a denominator and combine two expressions before simplifying. common

Simplify 5.

Simplify 6.