8.2Multilpying&DividingRationalExpressions
Notes8.2
Multiplying&Dividing
RationalExpressions
Simplifyeachexpression.
1.
2.
3.
4.
Factoreachexpression.
5.
6.
7.
BacktotheBasics.....
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Notes 8.2 Multiplying & Dividing Rational Expressions, Study Guides, Projects, Research of Calculus
2) Divide out common factors of the numerators and denominators. 3) Multiply remaining factors in numerator. Then multiply remaining factors in denominator.
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Notes8.
Multiplying&Dividing
RationalExpressions
Simplifyeachexpression.
Factoreachexpression.
BacktotheBasics.....
SimplifyingRationalExpressions
1)Factornumeratoranddenominatorcompletely. 2)Divideoutcommonfactorsofthenumeratorsanddenominators. 3)Multiplyremainingfactorsinnumerator.Thenmultiplyremainingfactors indenominator. 4)Noteanyundefinedvaluesofx(wheredenominator=0)
Whatisarationalexpression?
It'ssimplyafractionwithvariablesorin
fancyterms"aquotientofpolynomials."
Simplify; identify any xvalues for which the expression is undefined. A. B. Undefined for Undefined for x = x =
Multiply; assume that all expressions are defined.
Ex.
Multiply; assume that all expressions are defined. Ex.
DividingRationalExpressions
1)Rewritetheproblem,flippingthesecondfraction. Remember:"Theoneontherightisright!" 2)Factorallnumeratorsanddenominatorscompletely. 3)Divideoutcommonfactorsofthenumeratorsanddenominators. 4)Multiplynumerators.Thenmultiplydenominators. 5)Noteanyundefinedvaluesofx(wheredenominator=0) Only1stepdifferentfrommultiplyingrationalexpressions Divide. Assume that all expressions are defined. A. B.