Divinding Algebraic Expressions (Leaving Cert Mathematics): Flashcards

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Divinding Algebraic Expressions
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Index rule for dividing powers with same base

xpxq=xp−q\frac{x^p}{x^q} = x^{p-q}

Notation for division in algebra

Use fractions, not ÷÷ or //

What happens to common factors in numerator and denominator?

Cancel out

Requirement for cancelling a common factor

Must be factor of ALL terms on top AND bottom

Is ab+dac=b+dc\frac{ab+d}{ac} = \frac{b+d}{c} correct?

No, wrong - aa not a factor of all top terms

Steps to divide algebraic expressions

Divide coefficients, subtract exponents of like variables

Simplify: 4x22x\frac{4x^2}{2x}

2x2x

If coefficients don't divide evenly (e.g., 83\frac{8}{3})?

Leave as a fraction

Variable with no matching denominator term?

Stays unaffected in numerator

How to find common factors for cancellation?

Factor expressions first

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The Basics

Algebraic Fractions

Factorisation

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The Basics

Algebraic Fractions

Factorisation

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The Basics

Algebraic Fractions

Factorisation

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The Basics

Algebraic Fractions

Factorisation

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