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.

Slides:

Advertisements

Similar presentations

Operations on Rational Expressions Review

Advertisements

Rational Algebraic Expressions

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

Fractions and Rational

Simplifying Rational Expressions.

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.

Section R5: Rational Expressions

Review of Long Division 6.4 – Dividing Polynomials Long Division.

10.1 Simplifying Rational Expressions

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.

Rational Expressions.

R7 Rational Expressions. Rational Expressions An expression that can be written in the form P/Q, where P and Q are polynomials and Q is not equal to zero.

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

Simplifying 5.1 – Basic Prop. & Reducing to Lowest Terms.

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.

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

Rational Expressions. Martin-Gay, Developmental Mathematics 2 Rational Expressions Examples of Rational Expressions.

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

Multiplying and Dividing Rational Expressions

Multiplying and Dividing Rational Expressions

Algebra Rational Algebraic Expressions. WARMUP Simplify:

Simplify, Multiply & Divide Rational Expressions.

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

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

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

Background Check: ·Tell in words what is involved in simplifying a fraction. ·Tell in words what is involved in the operation of multiplication of fractions.

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

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.

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.

11.1 Simplifying Rational Expressions

Simplifying, Multiplying, and Dividing

Simplifying Rational Expressions Section 11.3.

Simplifying Rational Expressions

Simplify each expression. Assume all variables are nonzero.

Simplify each expression. Assume all variables are nonzero.

Section P6 Rational Expressions

8.1 Multiplying and Dividing Rational Expressions

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

5.1 – Basic Properties & Reducing to Lowest Terms

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

Multiplying and Dividing Rational Expressions

Multiplying and Dividing Rational Expressions

(x + 2)(x2 – 2x + 4) Warm-up: Factor: x3 + 8

Without a calculator, simplify the expressions:

Look for common factors.

Mult/Divide Rational Expressions

Simplify, Multiply and Divide Rational Expressions

Simplifying Rational Expressions.

10.1 Simplifying Rational Expressions

Find the product or quotient.

Simplify, Multiply and Divide Rational Expressions

Simplify each expression. Assume all variables are nonzero.

Simplifying Rational Expressions

Simplifying Rational Expressions.

Multiplying and Dividing Rational Expressions

6.6 Simplifying Rational Expressions

A rational expression is a quotient of two polynomials

Multiplying and Dividing Rational Expressions

Simplifying rational expressions

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

Zero and negative exponents

Presentation transcript:

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 zero, the rational expression is considered to be undefined at those value(s). The denominator can not equal zero.

What are the values of the variable that make the denominator zero and the expression undefined? 12.1 – Simplifying Rational Expressions

Simplifying 12.1 – Simplifying Rational Expressions

Simplifying 12.1 – Simplifying Rational Expressions

Simplifying 12.1 – Simplifying Rational Expressions

Rational Expressions – Multiplication and Division Multiplication:

Rational Expressions – Multiplication and Division

Multiplication: Rational Expressions – Multiplication and Division

Division: Rational Expressions – Multiplication and Division

Division: Rational Expressions – Multiplication and Division

Division: Rational Expressions – Multiplication and Division

Division: Rational Expressions – Multiplication and Division