Mult/Divide Rational Expressions

Slides:

Advertisements

Similar presentations

Operations on Rational Expressions Review

Advertisements

EXAMPLE 3 Standardized Test Practice SOLUTION 8x 3 y 2x y 2 7x4y37x4y3 4y4y 56x 7 y 4 8xy 3 = Multiply numerators and denominators. 8 7 x x 6 y 3 y 8 x.

Chapter 8: Inverses and Radicals Lesson 6: Quotients with Radicals Mrs. Parziale.

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

12.1 – Simplifying Rational Expressions A rational expression is a quotient of polynomials. For any value or values of the variable that make the denominator.

Simplifying Rational Expressions.

Lesson 8-1: Multiplying and Dividing Rational Expressions

Example 3 Dividing Mixed Numbers ÷ – 3 19 = 17 6 – Multiply by the reciprocal of 17 6 – 6 – = 3 () 6 – 19 Use rule for multiplying fractions.

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec

Rational Expressions rational expression: quotient of two polynomials x2 + 3x x + 2 means (x2 + 3x - 10) ÷ (3x + 2) restrictions: *the denominator.

Notes Over 9.4 Simplifying a Rational Expression Simplify the expression if possible. Rational Expression A fraction whose numerator and denominator are.

9.1 Multiplying and Dividing Rational Expressions ©2001 by R. Villar All Rights Reserved.

Section 9-3a Multiplying and Dividing Rational Expressions.

Vocabulary  Rational Expression – a ratio of 2 polynomial expressions.  Operations with rational numbers and rational expressions are similar.  Just.

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

EXAMPLE 2 Multiply rational expressions involving polynomials Find the product 3x 2 + 3x 4x 2 – 24x + 36 x 2 – 4x + 3 x 2 – x Multiply numerators and denominators.

Do Now: Solve for x in the following equation: Hint: and.

Multiplying Fractions and Mixed Numbers 3 X 1. Step 1: Convert the mixed numbers to improper fractions. 3 = 7 X 3 = = 25 1 = 5 X 1 = = 8.

Operations on Rational Expressions. Rational expressions are fractions in which the numerator and denominator are polynomials and the denominator does.

10/24/ Simplifying, Multiplying and Dividing Rational Expressions.

11.4 Multiply and Divide Rational Expressions. SIMPLIFYING RATIONAL EXPRESSIONS Step 1: Factor numerator and denominator “when in doubt, write it out!!”

3.10 Warm Up Do # 4, 8, & 12 on pg. 268 Do # 4, 8, & 12 on pg. 268.

Add/Subtract Rational Expressions

Sullivan Algebra and Trigonometry: Section R.7 Rational Expressions

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

8 4 Multiply & Divide Rational Expressions

12.5 Warm Up Warm Up Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Multiply and Divide Rational Expressions.

Multiplying and Dividing Rational Expressions

Simplify, Multiply & Divide Rational Expressions.

Algebra 11-3 and Simplifying Rational Expressions A rational expression is an algebraic fraction whose numerator and denominator are polynomials.

8.4 Multiply and Divide Rational Expressions

Do Now Pass out calculators. Have your homework out ready to check.

CLO and Warm Up I will be able to rationalize the denominators and numerators of radical expressions. Warm UP: Simplify:

Warm-up 6-1 Lesson 6-1 Simplifying Rational Expressions.

EXAMPLE 1 Find multiplicative inverses of numbers a. The multiplicative inverse of 1 5 – is – 5 because b. The multiplicative inverse of 6 7 – is 7 6 –

3.4 Simplify Radical Expressions PRODUCT PROPERTY OF RADICALS Words The square root of a product equals the _______ of the ______ ______ of the factors.

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.

5-6 Dividing Fractions and Mixed Numbers Learn to divide fractions and mixed numbers.

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

3.9 Mult/Divide Rational Expressions Example 1 Multiply rational expressions involving polynomials Find the product. Multiply numerators and denominators.

Warm-Up Exercises Perform the operation. 1. x x + 36 x 2 – x5x x 2 – 6x + 9 · x 2 + 4x – 21 x 2 + 7x ANSWERS x + 3 x – 12 ANSWERS 5 x – 3.

Operations on Rational Expressions MULTIPLY/DIVIDE/SIMPLIFY.

Simplifying. Multiplying and Dividing Rational Expressions Remember that a rational number can be expressed as a quotient of two integers. A rational.

Simplifying Rational Expressions.

Multiplying and Dividing Rational Expressions

Do Now: Multiply the expression. Simplify the result.

Apply Exponent Properties Involving Quotients

8.1 Multiplying and Dividing Rational Expressions

Rational expressions 8.11.

7.1/7.2 – Rational Expressions: Simplifying, Multiplying, and Dividing

Multiplying and Dividing Rational Expressions

8.4 Multiply & Divide Rational Expressions

Multiplying and Dividing Rational Expressions

Without a calculator, simplify the expressions:

Simplify Complex Rational Expressions

Simplifying Rational Expressions.

Simplifying Rational Expressions

Warm-Up (Fractions) Calculator Free. [1] [2] [3] [4]

1.2 Multiply and Divide Radicals

Simplifying Rational Expressions.

Simplifying Rational Expressions

Multiplying and Dividing Rational Expressions

Which fraction is the same as ?

6.6 Simplifying Rational Expressions

A rational expression is a quotient of two polynomials

Divide Rational Expressions

Multiplying and Dividing Rational Expressions

ALGEBRA II HONORS/GIFTED - SECTION 8-4 (Rational Expressions)

Multiplying and Dividing Rational Numbers

Roots, Radicals, and Root Functions

Presentation transcript:

Mult/Divide Rational Expressions 3.9 Mult/Divide Rational Expressions Example 1 Multiply rational expressions involving polynomials Find the product . Multiply numerators and denominators. Factor and divide out common factors. Simplify.

Mult/Divide Rational Expressions 3.9 Mult/Divide Rational Expressions Example 2 Multiply a rational expression by a polynomial Find the product . Rewrite polynomial as a fraction. Multiply numerators and denominators. Factor and divide out common factors. Simplify.

Mult/Divide Rational Expressions 3.9 Mult/Divide Rational Expressions Checkpoint. Find the product.

Mult/Divide Rational Expressions 3.9 Mult/Divide Rational Expressions Checkpoint. Find the product.

Mult/Divide Rational Expressions 3.9 Mult/Divide Rational Expressions Example 3 Divide rational expressions involving polynomials Find the quotient . Multiply by multiplicative inverse. Multiply numerators and denominators. Factor and divide out common factors. Simplify.

Mult/Divide Rational Expressions 3.9 Mult/Divide Rational Expressions Example 4 Divide a rational expression by a polynomial Find the quotient . Rewrite polynomial as a fraction. Multiply by inverse. Multiply numerators and denominators. Factor and divide out common factors. Simplify.

Mult/Divide Rational Expressions 3.9 Mult/Divide Rational Expressions Checkpoint. Find the quotient.

Mult/Divide Rational Expressions 3.9 Mult/Divide Rational Expressions Checkpoint. Find the product.

Mult/Divide Rational Expressions 3.9 Mult/Divide Rational Expressions Pg. 183, 3.9 #1-18