Dividing Expressions (Junior Cert Mathematics): Quizzes

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Dividing Expressions
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When dividing variables with exponents, what do you do with the powers?

Subtract them

What is x5x2\frac{x^5}{x^2} simplified?

x3x^3

When dividing expressions by direct division, what should you divide first?

Coefficients

Simplify 12x34x\frac{12x^3}{4x}

3x23x^2

What is 18y4z26y2z\frac{18y^4z^2}{6y^2z} simplified?

3y2z3y^2z

When dividing a polynomial by a monomial, how should you divide?

Divide each term separately

What is x0x^0 equal to?

11

What is a common mistake when dividing polynomials by a monomial?

Not dividing each term

In factorising method, what is the first step?

Factorise numerator

Why can you cancel x+2x+2\frac{x+2}{x+2} in an expression?

Dividing by itself = 1

To factorise x2+5x+6x^2+5x+6, find two numbers that multiply to 6 and add to what?

55

What is 18x3y26xy\frac{-18x^3y^2}{6xy} simplified?

3x2y-3x^2y

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