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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,041 prompts matching "Writing a binary operation rule from a description in words"

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WAEC Prep: Finding the values of m for which a line cuts a curve twice

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Show All Working: The point of contact when a line touches a curve

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Common Mistakes: A line and a curve meeting once without the line being a tangent

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Worked Example: The degree of a polynomial in one variable

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Spot My Mistake: A polynomial written in descending powers

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Show All Working: Adding and subtracting two polynomials

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Common Mistakes: Multiplying one polynomial by another

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Spot My Mistake: A division that leaves a linear remainder

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WAEC Prep: Dividing by a factor of the form ax plus b

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Show All Working: Synthetic division as a shorter route

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Common Mistakes: The degree of the quotient and of the remainder

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Worked Example: The remainder on dividing by x minus 3

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WAEC Prep: The remainder theorem checked against long division

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Show All Working: A remainder of nought, and what it means

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Common Mistakes: The remainder theorem applied to a quartic

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Worked Example: Testing a list of candidates to find a factor

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Show All Working: What the factor theorem says about the roots

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Common Mistakes: Using the factor theorem before dividing

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Worked Example: Factorising a cubic into a linear and a quadratic factor

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Spot My Mistake: Factorising the sum of two cubes

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