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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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972 prompts matching "Condition for two lines to be perpendicular"

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Common Mistakes: Writing down the roots once the brackets are found

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Show All Working: Completing the square with a fractional coefficient of x

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Common Mistakes: Checking a completed square by expanding it again

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Final Revision: Why completing the square always works

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Explain Back: Finding a missing coefficient from a stated sum of roots

I have just studied finding a missing coefficient from a stated sum of roots in my SS2 Fur

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Show All Working: Roots equal in magnitude but opposite in sign

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

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Explain Back: Writing the answers as ordered pairs

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

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Final Revision: Checking both solutions in both equations

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Common Mistakes: Multiplying one polynomial by another

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Explain Back: A division that leaves a constant remainder

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

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Explain Back: Finding a coefficient when the remainder is given

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Show All Working: A remainder of nought, and what it means

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Final Revision: A word problem that uses the remainder theorem

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