Section 6.2 Multiplying and Dividing Rational Expressions

Slides:

Advertisements

Similar presentations

6-3: Complex Rational Expressions complex rational expression (fraction) – contains a fraction in its numerator, denominator, or both.

Advertisements

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.

3.4 Dividing Rational Numbers. Multiplicative Inverse Two numbers whose product is 1 Reciprocals.

Dividing Rational Expressions Use the following steps to divide rational expressions. 1.Take the reciprocal of the rational expression following the division.

Rational Functions MCR3u – Mr Nyman.

Multiplying & Dividing Rational Expressions. Simplified form of a rational expression - Means the numerator and denominator have NO common factors. To.

Simplifying, Multiplying, and Dividing Rational Expressions MATH 017 Intermediate Algebra S. Rook.

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.

Simplify Rational Algebraic Expressions In the previous section on polynomials, we divided a polynomial by a binomial using long division. In this section,

10.4 Addition and Subtraction: Like Denominators Goal: to add and subtract rational expressions with like denominators.

Adding & Subtracting Rational Expressions. Vocabulary Rational Expression Rational Expression - An expression that can be written as a ratio of 2 polynomials.

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)

Aim: How do we multiply and divide rational expressions?

Section 9-3a Multiplying and Dividing Rational Expressions.

Rational Expressions Topic 2: Multiplying and Dividing Rational Expressions.

 Multiply rational expressions.  Use the same properties to multiply and divide rational expressions as you would with numerical fractions.

Dividing Fractions and Mixed Numbers Objective: Learn to divide fractions and mixed numbers.

Warm up # (-24) =4.) 2.5(-26) = 2-7(-8)(-3) = 5.) -5(9)(-2) = 3.

Section 8-4 Multiplying and Dividing Rational Expressions.

Simplify, Multiply, and Divide Rational Expressions May 8, 2015.

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.

Chapter 6 Section 2 Multiplication and Division of Rational Expressions 1.

Warm-up:. Homework: 9.b multiply and divide rational expressions After this lesson you will be able to… Factor and reduce rational expressions during.

Aim: How do we multiply or divide complex numbers? Do Now: 1. Multiply: 2. Multiply: 3. Multiply: 6 + 7x + 2x i HW: p.216 # 26,30,32,36,38,40,50,52.

Purpose: To divide fractions. Homework: P. 256 – – 43 odd.

Unit 4 Day 4. Parts of a Fraction Multiplying Fractions Steps: 1: Simplify first (if possible) 2: Then multiply numerators, and multiply denominators.

Simplify, Multiply & Divide Rational Expressions.

Table of Contents Dividing Rational Expressions Use the following steps to divide rational expressions. 1.Take the reciprocal of the rational expression.

Dividing Fractions.

Unit 7 Rationals and Radicals Rational Expressions –Reducing/Simplification –Arithmetic (multiplication and division) Radicals –Simplifying –Rational Exponents.

Algebra II Honors POD homework: p eoo, odds Factor the following:

Section 6.2 Multiplication and Division. Multiplying Rational Expressions 1) Multiply their numerators and denominators (Do not FOIL or multiply out the.

Warm-Up Factor the following: 2x 2 + 7x – 15 Product: -30 … (2)(-15) Factor Pair: -3, 10 BUILD: -3/2 10/2 Simplify: -3/2, 5/1 (2x – 3) (x + 5)

Operations on Rational Expressions MULTIPLY/DIVIDE/SIMPLIFY.

Operations on Rational algebraic expression

Aim: How do we multiply or divide complex numbers? Do Now:

How do we multiply and divide Rational Expressions?

AIM: How do we simplify, multiply and divide rational expressions?

Multiplying and Dividing Rational Expressions

Do Now: Multiply the expression. Simplify the result.

Multiplying and dividing Rational functions with factoring first.

Dividing Fractions.

Aim: How do we multiply and divide rational expressions?

Multiplying and Dividing Rational Expressions

Multiplying and dividing Rational functions with factoring first.

Multiplying and Dividing Rational Expressions

Without a calculator, simplify the expressions:

Section 5.2 Multiplying, Dividing, and Rationalizing Radicals:

Section 6.1 Simplifying Rational Expressions and NPV’s

Section 6.3 Adding and Subtracting Rational Expressions

Warm-up: Find each quotient.

9.4: Rational Expressions

Section 2.2 Zero and Negative Exponents

Dividing Fractions and Mixed Numbers

Section 2.5 Operations with Radicals

Section 2.3 Fractional Exponents

Rational Expressions and Equations

Multiplying and Dividing Rational Expressions

10-1 Simplifying Radicals

Section 2.6 Rationalizing Radicals

Section 7.3 Simplifying Complex Rational Expressions.

Dividing Radical Expressions

Unit 3: Rational Expressions Dr. Shildneck September 2014

Roots, Radicals, and Root Functions

Multiplying and Dividing Rational Expressions

Dividing Fraction Mr. Hickey.

10.3 Dividing Rational Expressions

DIVIDE TWO RATIONAL NUMBERS

Presentation transcript:

Section 6.2 Multiplying and Dividing Rational Expressions © Copyright all rights reserved to Homework depot: www.BCMath.ca

I) Review: Multiplying & Dividing Fractions Cancel Out any common factors in the Numerator & Denominator The division sign becomes a multiplication sign. Take the reciprocal of the 2nd fraction

II) Multiplying & Dividing R.E. Ex: Simplify each of the following Rational Expressions Cancel out any common factors When dividing a fraction, flip it and then multiply

Practice: Simplify Cancel out any common factors

III) Factoring Rational Expressions When multiplying Rational Expressions with trinomials Factor every trinomial or difference of squares Cancel out any common binomial in both the numerator & denominator Look for NPV’s from every bracket in the denominator Ex: Simplify & State the NPV Factor each trinomial Cancel out any common binomial Look for NPV’s (Denominator) © Copyright all rights reserved to Homework depot: www.BCMath.ca

Practice: Simplify & find all NPV’s Look for NPV’s (Denominator) Look for NPV’s (Denominator) © Copyright all rights reserved to Homework depot: www.BCMath.ca

Extra Practice: Simplify each of the following and state the NPV’s

The non-permissible values are for x are

The non-permissible values are for x are

HW: Section 6.2 Assignment 6.2