Review Op’s Rational Express_Interactive Video

Simplify the rational expression.

*Remember: first you want to factor each polynomial if possible.

• ( x + 5 )( x - 5 ) / ( x + 5 )( x - 2 )

• ( x - 5 ) / ( x - 2 )

• ( x + 5 ) / ( x - 2 )

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CCSS.HSA.APR.D.6

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Simplify.

• A.
• B.
• C.
• D.

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CCSS.HSA.APR.D.7

Simplify.

• a
• b
• c
• d

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CCSS.HSA.APR.D.7

Multiply

• A.
• B.
• C.
• D.

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CCSS.HSA.APR.D.7

• (x - 5)/ (x - 1)
• (x + 1)/(x - 1)
• 1/(x - 1)
• (x + 1)

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CCSS.HSA.APR.D.6

What is a rational expression?

• A fraction

• A fraction that has variables in the denominator

• A ratio

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What is the first step you should take when multiplying or dividing rational expressions?

• Factor every polynomial that is factorable in each fraction.

• Cancel out like factors

• multiply the numerators together and multiply the denominators together.

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When going about getting a Least Common Denominator (LCD) what should you do first?

• factor every denominator that can be factored

• cancel out like terms

• Add or subtract the numerators

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How did the denominator of x²-64 factor?

• By Difference of Squares: (x-8)

• It doesn't factor: Prime

• By Difference of Squares: (x-8)(x+8)

• By Greatest Common Factor: x(x-8)