Algebra Flashcards: Rewriting Rational Expressions

Study Rewriting Rational Expressions in Algebra with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

What is $\frac{x^2+1}{x}$ written as $q(x)+\frac{r(x)}{b(x)}$ ?

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ANSWER

$x+\frac{1}{x}$ . Split each term: $\frac{x^2}{x}+\frac{1}{x}=x+\frac{1}{x}$ .

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Algebra: Rational Expressions

Operating with Rational Expressions50 cards

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51 cards

What this deck covers

This deck focuses on Rewriting Rational Expressions, giving you a quick way to review the definitions, rules, and examples that matter most for Algebra.

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 43Practice questions for this set

What are the quotient

q(x)

and remainder

r(x)

when dividing

x^3+4x^2+x+6

x+3

? Then write

\frac{x^3+4x^2+x+6}{x+3}=q(x)+\frac{r(x)}{x+3}

with

\deg(r)<1

Choose an answer

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