Dividing Expressions (Junior Cert Mathematics): Quizzes

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Dividing Expressions
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What are coefficients in algebraic expressions?

Numbers in front of variables

When dividing the same variable, what do you do with the exponents?

Subtract the exponents

What is x7x3\frac{x^7}{x^3} simplified?

x4x^4

Simplify 20x54x2\frac{20x^5}{4x^2}.

5x35x^3

Simplify 12y6z43y2z2\frac{12y^6z^4}{3y^2z^2}.

4y4z24y^4z^2

When dividing a polynomial by a monomial, what must you do?

Divide each term separately

Simplify 12x3+8x24x\frac{12x^3 + 8x^2}{4x}.

3x2+2x3x^2 + 2x

What is the first step when dividing by factorising?

Factorise the numerator

Why can you cancel (x+2)(x+2) from (x+2)(x+3)x+2\frac{(x+2)(x+3)}{x+2}?

A factor divided by itself equals 1

Simplify x2+6x+8x+2\frac{x^2 + 6x + 8}{x + 2}.

x+4x + 4

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