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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,017 prompts matching "Deciding whether a set under an operation forms a group"

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Quiz: A negative value of b in the quadratic formula

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Final Revision: A word problem solved with the quadratic formula

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WAEC Prep: Checking the sum and product against the solved roots

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Common Mistakes: Roots that are reciprocals of one another

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Worked Example: The identity linking alpha squared plus beta squared to the sum and product

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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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Spot My Mistake: A pair with equal roots, meaning one solution only

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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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Learn: Forming the quadratic that decides where a line meets a curve

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Worked Example: The discriminant used as the test for intersection

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

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

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WAEC Prep: Expressions that are not polynomials, and why not

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Show All Working: Adding and subtracting two polynomials

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

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

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