warmup alg 2 14 mar 2012

Warmup Alg 2 14 Mar 2012

Agenda• Don't forget about resources on

mrwaddell.net

• Section 8.4: Simplifying, Multiplying and dividing rational expressions• Simplify Rational Expressions• Multiply Rational Expressions• Divide Rational Expressions (which is just

multiplying)

Go over assignment from last class period

Section 8.4: Factoring is your friend

Vocabulary

Simplify

Factoring

The process of FACTORING and reducing.

Your friend that you must master for success

The process of finding out what things multiply together.

Simplifying Rational Expressions

3228

Recall: Simplifying Rational Numbers

Step 1: Factor everything

22222722

Step 2: Reduce the common factors

87

Step 3: Multiply it back out

Simplifying Rational Expressions

Simplifying Rational Expressions

Step 1: Factor everything

)6)(6()6)(1(

xxxx

Step 3: Multiply it back out if necessary)6(

)1(xx

Step 2: Reduce the common factors

Simplifying Rational Expressions

Step 1: Factor everything

)7)(1()7)(7(

xxxx

Step 3: Multiply it back out if necessary)1(

)7(xx

Step 2: Reduce the common factors

Multiplying Rational Expressions

1825

46

52

Recall: Multiplying Rational Numbers

Step 1: Factor everything

33255

2232

52

325

Step 3: Multiply it back out65

Step 2: Reduce the common factors

Multiplying Rational Expressions

Multiplying Rational Expressions

Step 1: Factor everything

xxxxx

x 22

2

2 2227

374

43

421x

Step 3: Multiply it back out

Step 2: Reduce the common factors

Multiplying Rational Expressions

Step 1: Factor everything

322

2 xx

x Step 3: Multiply it back out

Step 2: Reduce the common factors)1)(3()2)(3(

)3)(1()1(

xxxx

xxx

Multiplying Rational Expressions

Step 1: Factor everything

96103

2

2

xxxx Step 3: Multiply it

back out

Step 2: Reduce the common factors)5)(3()2)(2(

)3)(2()5)(5(

xxxx

xxxx

Dividing Rational Expressions

1824

46

Recall: Dividing Rational NumbersStep 1: Flip the 2nd term & make it a multiplication

46

429

Step 3: Multiply it back out8

9

Step 2: Factor & Reduce the common factors

4692

226

2418

Dividing Rational Expressions

Dividing Rational Expressions

Step 1: Flip the 2nd term & make it a multiplication

Step 3: Multiply it back out

Step 2: Factor & Reduce the common factors

2)2()1(

xx

)1)(4()2)(2(

xxxx

)1)(4)(2()2)(1(

xxx

xx

Assignment

Section 8.3: pg 577: 6 – 13, 24 – 29, 38 – 40