Rational Expressions (Edexcel A-Level Mathematics): Quizzes

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Improper Algebraic Fractions
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What defines an improper algebraic fraction?

Numerator degree ≥ denominator degree

What is the degree of a polynomial?

Highest power of variable

What method simplifies improper algebraic fractions?

Polynomial division

What is the simplified form of an improper fraction?

Quotient + remainder/denominator

What is remainder/denominator called?

Proper fraction

For x3+2x2+3x+4x+1=x2+x+2+2x+1\frac{x^3 + 2x^2 + 3x + 4}{x + 1} = x^2 + x + 2 + \frac{2}{x + 1}, what is the quotient?

x2+x+2x^2 + x + 2

For x2+3x+5x+1=x+2+3x+1\frac{x^2 + 3x + 5}{x + 1} = x + 2 + \frac{3}{x + 1}, what is the remainder?

33

Is x2+5x+3x3+1\frac{x^2 + 5x + 3}{x^3 + 1} improper?

No, numerator degree < denominator degree

What is step 1 to simplify improper fractions?

Identify the degree

What does polynomial division give?

Quotient and remainder

Explore Edexcel A-Level Mathematics Revision Notes by Topics

Laws of Indices & Surds

Quadratics

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Partial Fractions

Modelling with Functions

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Transformations of Functions

Combinations of Transformations

Partial Fractions

Modelling with Functions

Further Modelling with Functions

Explore Edexcel A-Level Mathematics Model Answers by Topics

Laws of Indices & Surds

Quadratics

Simultaneous Equations

Inequalities

Polynomials

Rational Expressions

Graphs of Functions

Functions

Transformations of Functions

Combinations of Transformations

Partial Fractions

Modelling with Functions

Further Modelling with Functions

Show more

Transformations of Functions

Combinations of Transformations

Partial Fractions

Modelling with Functions

Further Modelling with Functions

Explore Edexcel A-Level Mathematics Flashcards by Topics

Laws of Indices & Surds

Quadratics

Simultaneous Equations

Inequalities

Polynomials

Rational Expressions

Graphs of Functions

Functions

Transformations of Functions

Combinations of Transformations

Partial Fractions

Modelling with Functions

Further Modelling with Functions

Show more

Transformations of Functions

Combinations of Transformations

Partial Fractions

Modelling with Functions

Further Modelling with Functions

Explore Edexcel A-Level Mathematics Exam Questions by Topics

Laws of Indices & Surds

Quadratics

Simultaneous Equations

Inequalities

Polynomials

Rational Expressions

Graphs of Functions

Functions

Transformations of Functions

Combinations of Transformations

Partial Fractions

Modelling with Functions

Further Modelling with Functions

Show more

Transformations of Functions

Combinations of Transformations

Partial Fractions

Modelling with Functions

Further Modelling with Functions

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