AP Precalculus Flashcards: Rational Functions And Holes

Study Rational Functions And Holes in AP Precalculus with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

Perform long division on f(x)=x2+3x+2x+1f(x) = \frac{x^2 + 3x + 2}{x + 1}.

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ANSWER

Quotient is x+2x + 2, remainder is 0. x2+3x+2=(x+1)(x+2)x^2 + 3x + 2 = (x+1)(x+2) divides evenly.

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AP Precalculus: Polynomial and Rational Functions

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What this deck covers

This deck focuses on Rational Functions And Holes, giving you a quick way to review the definitions, rules, and examples that matter most for AP Precalculus.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Practice questions

1 of 27Practice questions for this set
Consider the function u(x)=x225x5u(x)=\dfrac{x^2-25}{x-5} for a fuel-usage model; what is the location of the hole in the function u(x)u(x)?
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