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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 "Expressing a cos x plus b sin x in the form R cos of x minus alpha"

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Common Mistakes: Roots that are reciprocals of one another

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Final Revision: One root twice the other, and what that gives

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Learn: What makes an expression in the roots symmetric

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Common Mistakes: A symmetric function needing the sum and product twice over

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Show All Working: A simultaneous pair in which the second equation is a circle

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

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Explain Back: Evaluating P of 2 for a given polynomial

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Common Mistakes: Multiplying one polynomial by another

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Show All Working: Synthetic division as a shorter route

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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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Final Revision: A word problem that uses the remainder theorem

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Learn: The statement of the factor theorem

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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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Final Revision: A factor theorem question set in the WAEC style

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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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Final Revision: Checking a root of a cubic by substitution

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