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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 "The position vector of a point relative to the origin"

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Learn: Making one unknown the subject of the linear equation

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Practice: Finding the matching value of the second unknown

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

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Worked Example: The degree of a polynomial in one variable

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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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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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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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Practice: Showing that x plus 3 is a factor of a given polynomial

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

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Final Revision: The exclusive sense of or, and its truth table

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Practice: The converse of a conditional

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Explain Back: The inverse of a conditional

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Spot My Mistake: The contrapositive of a conditional

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Common Mistakes: Writing the converse, inverse and contrapositive of one statement

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