8.1 Multiplying and Dividing Rational Expressions

Slides:

Advertisements

Similar presentations

Operations on Rational Expressions Review

Advertisements

Preview Warm Up California Standards Lesson Presentation.

1 Math Questions. 2 Length x Width x Water Depth = cubic feet.

9.1 Multiplying and Dividing Rational Expressions

Holt Algebra Simplifying Rational Expressions Warm Up Simplify each expression Factor each expression. 3. x 2 + 5x x 2 – 64 (x + 2)(x.

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

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

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

Review of Long Division 6.4 – Dividing Polynomials Long Division.

9.2 Adding and Subtracting Rational Expressions Least Common Denominator of a polynomial of a polynomial.

A quadratic equation is written in the Standard Form, where a, b, and c are real numbers and. 5.8 – Solving Equations by Factoring Zero Factor Property:

Section P6 Rational Expressions

Rational Expressions Section 0.5. Rational Expressions and domain restrictions Rational number- ratio of two integers with the denominator not equal to.

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?

How to Simplify Rational Expressions How to Simplify Complex Fractions.

Factor Each Expression Section 8.4 Multiplying and Dividing Rational Expressions Remember that a rational number can be expressed as a quotient.

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.

Percents and Fractions. Vocabulary A percent is a ratio that compares a number to 100. It means “per 100.” 49 out of 100 is 49%.

Rational Expressions Simplifying Section Simplifying Rational Expressions The objective is to be able to simplify a rational expression.

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

Entrance Slip: Factoring 1)2) 3)4) 5)6) Section P6 Rational Expressions.

Multiplying and Dividing 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.

Rational Expressions Simplifying. Polynomial – The sum or difference of monomials. Rational expression – A fraction whose numerator and denominator are.

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.

Chapter 11.2 Notes: Simplify Rational Expressions Goal: You will simplify rational expressions.

Section 6.1 Rational Expressions Definition A rational expression is the ratio of two polynomials. Examples:

9.1 Simplifying Rational Expressions Objectives 1. simplify rational expressions. 2. simplify complex fractions.

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.

Simplify Rational Expression Lesson Warm Up Simplify each expression Factor each expression. 3. x 2 + 5x x 2 – 64 (x + 2)(x + 3) 5.

Simplifying Rational Expressions.

Multiplying and Dividing Rational Expressions

Simplifying Rational Expressions Section 11.3.

Simplifying Rational Expressions

Do Now: Multiply the expression. Simplify the result.

Simplifying Rational Expressions

Aim: How do we multiply and divide rational expressions?

Simplify each expression. Assume all variables are nonzero.

Section P6 Rational Expressions

8.1 Multiplying and Dividing Rational Expressions

Rational expressions 8.11.

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

Aim: How do we add or subtract rational expressions?

Rational Expressions and Equations

Multiplying and Dividing Rational Expressions

Rational Expressions. Rational Expressions RATIONALS - - what are they? Ratio of two polynomial expressions Examples include:

Bell Work: 11/6/14 Simplify the following numeric fractions

Without a calculator, simplify the expressions:

Warm Up Simplify each expression. 1. Factor each expression.

Look for common factors.

Simplify Complex Rational Expressions

Simplifying Rational Expressions.

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

Simplify each expression. Assume all variables are nonzero.

Appendix A.4 Rational Expression.

Simplifying Rational Expressions.

Multiplying and Dividing Rational Expressions

Unit 3: Rational Expressions Dr. Shildneck September 2014

Concept 5 Rational expressions.

SIMPLIFYING RATIONAL EXPRESSIONS & DOMAIN

Presentation transcript:

8.1 Multiplying and Dividing Rational Expressions

Vocabulary Rational Expression – a ratio of 2 polynomial expressions. A rational expression is undefined when the denominator is equal to zero.

Example 1: Simplify Under what conditions is the expression undefined?

Example 2: Simplify For what value(s) of p is the expression undefined?

Example 3: Simplify

Example 4: Simplify

With polynomials, factor first! Example 5: Simplify

Example 6: Simplify

Example 7: Simplify.

Example 8 Simplify

Example 9: Simplify.

Example 10: Simplify.

Complex Fractions Example 11: Simplify

Complex Fractions Example 12: Simplify

Complex Fractions Example 13: Simplify

Example 14 You are considering buying a swimming pool and have narrowed the choices to two—one that is circular and one that is rectangular. The width of the rectangular pool is three times its depth. Its length is 6 feet more than its width. The circular pool has a diameter that is twice the width of the rectangular pool, and it is 2 feet deeper. a. Find the ratio of the volume of the circular pool to the volume of the rectangular pool. b. The volume of the rectangular pool is 2592 cubic feet. How many gallons of water are needed to fill the circular pool if 1 gallon is approximately 0.134 cubic foot?