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Further Mathematics

AI prompts for senior secondary learners.

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1,042 prompts matching "Two vectors that are equal but drawn in different places"

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

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Learn: Making one unknown the subject of the linear equation

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WAEC Prep: A pair that gives no real solution at all

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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 word problem giving one linear and one quadratic equation

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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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Common Mistakes: Multiplying one polynomial by another

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

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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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Learn: The statement of the remainder theorem

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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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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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Learn: Factorising a cubic into three linear factors

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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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