warmup alg 2 14 mar 2012
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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). - PowerPoint PPT PresentationTRANSCRIPT
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