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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,016 prompts matching "An element with no inverse under a given operation"

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Show All Working: Forming an equation whose roots are three alpha and three beta

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

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Worked Example: Substituting into the quadratic and tidying up

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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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Worked Example: The discriminant used as the test for intersection

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Practice: The condition for the line to be a tangent

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Common Mistakes: The degree of the quotient and of the remainder

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Worked Example: Testing a list of candidates to find a factor

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Worked Example: Factorising a cubic into a linear and a quadratic factor

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Worked Example: How many roots a cubic equation has

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Show All Working: Solving a cubic that must first be rearranged

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Show All Working: Translating an English sentence into logical symbols

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Common Mistakes: Translating a symbolic statement back into English

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Practice: What logical equivalence means

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Common Mistakes: Deciding between tautology, contradiction and contingency

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Worked Example: Premises and conclusion

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Common Mistakes: The fallacy of denying the antecedent

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Worked Example: Arranging r of n objects in a line

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Show All Working: Arrangements of boys and girls alternately

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