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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 "Find the tangent to y = x^2 - 4x + 7 at x = 3"

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Worked Example: The division algorithm for polynomials

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Quiz: Dividing a quartic by a quadratic

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Practice: A division that leaves no remainder

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Explain Back: A division that leaves a constant remainder

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Spot My Mistake: A division that leaves a linear remainder

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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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Worked Example: The remainder on dividing by x minus 3

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Quiz: The remainder on dividing by x plus 2

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Practice: The remainder on dividing by 2x minus 1

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Quiz: Which values are worth testing as factors

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Learn: Factorising a cubic into three linear factors

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Quiz: Factorising a polynomial by grouping terms

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Show All Working: Factorising a polynomial with fractional roots

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Common Mistakes: Factorising fully, and knowing when to stop

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Learn: Solving a cubic once it has been factorised

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Worked Example: How many roots a cubic equation has

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Explain Back: A cubic with a repeated root

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Common Mistakes: A cubic equation arising from a volume problem

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Learn: What makes a sentence a proposition

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