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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "Expanding p plus q, all to the power n, as a probability model"

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Spot My Mistake: Finding the values of c for which a line is a tangent

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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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Quiz: The leading term and the constant term

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Common Mistakes: Multiplying one polynomial by another

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Final Revision: The degree of the product of two polynomials

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Learn: Setting out the division of a cubic by a linear expression

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Worked Example: The division algorithm for polynomials

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

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Final Revision: Writing the result of a polynomial division out in full

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Learn: The statement of the remainder theorem

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Worked Example: The remainder on dividing by x minus 3

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Final Revision: A word problem that uses the remainder theorem

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

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Learn: Factorising a cubic into three linear factors

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

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Quiz: Factorising a polynomial by grouping terms

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Common Mistakes: Factorising fully, and knowing when to stop

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Worked Example: How many roots a cubic equation has

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Spot My Mistake: Finding the remaining roots once one is known

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