Dividing Expressions (Junior Cert Mathematics): Flashcards

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Dividing Expressions
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What it means to divide algebraic expressions

Breaking complex expressions into simpler parts

2 methods to divide expressions

Direct Division and Factorising

Coefficients definition

Numbers in front of variables (e.g., 3 in 3x3x)

Rule for dividing same variables

Subtract the powers (exponents)

xmxn\frac{x^m}{x^n} equals

xmnx^{m-n}

Simplify x5x2\frac{x^5}{x^2}

x3x^3

Steps for direct division

Divide coefficients, then divide variables

Dividing polynomial by monomial rule

Divide each term separately

x0x^0 equals

11

Common mistake when dividing expressions

Not dividing each term separately

When can you cancel factors in a fraction?

Same factor in numerator and denominator

How to factorise x2+5x+6x^2+5x+6

Find 2 numbers: multiply to 6, add to 5 (gives (x+2)(x+3)(x+2)(x+3))

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