Warm Up Factor the following expressions completely: 14a2 + 7a

Slides:

Advertisements

Similar presentations

Operations on Rational Expressions Review

Advertisements

Warm Up Simplify each expression. Factor the expression.

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

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.

Simplifying Rational Expressions

Class Greeting. Chapter 7 Rational Expressions and Equations Lesson 7-1a Simplifying Rational Expressions.

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.

Bell Ringer 9/21/15 1. Simplify 2x 2 6x 2. Add Subtract 2 _

Rational Expressions Simplifying Algebra B.

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,

Section R5: Rational Expressions

Section P6 Rational Expressions

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.

How to Simplify Rational Expressions How to Simplify Complex Fractions.

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.

Alg III P6(a) – Rational Expressions Homework: p odd.

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

Warm-up Factor each polynomial. 1. 4x 2 – 6x2. 15y y 3. n 2 + 4n p 2 – p – 42.

Bell Ringer 9/18/15 1. Simplify 3x 6x 2. Multiply 1 X Divide 2 ÷

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.

9.4 Multiplying and Dividing Rational Expressions -To multiply and divide rational expressions. -Use rational expressions to model real life quantities.

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.

Bell Quiz. Objectives Simplify rational expressions. Find undefined or excluded values for rational expressions.

Bell Ringer 2/9/15 1. Simplify 3x 6x 2. Multiply 1 X Divide 2 ÷ Add Subtract 2 _

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

Warmups – simplify. Hint: Divide coefficients and use rules of exponents (subtract exponents when you divide). Factors cancel!

Warm up: Factor & List which process(es) you used.

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.

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

TODAY IN CALCULUS…  Warm Up: Synthetic Division  Learning Targets :  You will add and subtract rational expressions.  You will simplify rational expressions.

Simplifying Rational Expressions Chap 5A: Rational Functions.

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

Operations on Rational Expressions MULTIPLY/DIVIDE/SIMPLIFY.

Warm Up Add or subtract –

Simplifying, Multiplying, and Dividing

Simplifying Rational Expressions Section 11.3.

Simplifying Rational Expressions

Simplifying Rational Expressions

Simplify each expression. Assume all variables are nonzero.

Simplify each expression. Assume all variables are nonzero.

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

EXAMPLE 1 Find excluded values

8.4 Multiply & Divide Rational Expressions

Have out to be checked: P. 680/14-23 all, 29; Don't graph 22 and 23.

Without a calculator, simplify the expressions:

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

Look for common factors.

Mult/Divide Rational Expressions

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

Algebra Section 11-1 : Rational Expressions and Functions

Simplify each expression. Assume all variables are nonzero.

Adapted from Joyce Duvall- Henderson, Nevada

Multiplying and Dividing Rational Expressions

6.6 Simplifying Rational Expressions

Simplifying rational expressions

Ch. 11 Vocabulary 1.) rational expressions 2.) excluded value

Presentation transcript:

Warm Up Factor the following expressions completely: 14a2 + 7a y2 + 7y + 12 x4 – 81

Unit 5 - Day 1 Simplifying Rational Expressions Objective: SWBAT simplify a rational expression.

What is a rational number? Review What is a rational number? (Feel free to ask google) Examples:

A fraction in which the numerator and/or denominator are polynomials. Rational Expressions A fraction in which the numerator and/or denominator are polynomials. Examples: * * * Note: Denominators cannot be zero. * * *

How do we simplify a rational expression? Review How do we simplify a rational expression? Example:

Simplifying Rational Expressions Example: Factor the numerator and denominator: Divide by the common factor:

Excluded Values Since division by zero is undefined, we must exclude any values of x that cause the denominator to equal zero. In the last example: Therefore, the excluded values are:

Simplifying Rational Expressions Example: Factor the numerator and denominator: Divide by the common factor: Excluded Values:

Classwork: Factoring practice Packet pg. 2 - 3 Simplifying practice ~Odds only~ Homework: Finish pg. 2 - 6