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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,332 prompts matching "Finding an unknown coordinate using the gradient formula"

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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original

Act as my SS3 Further Mathematics tutor. Work a question on forming a new equation whose r

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Show All Working: Solving a quadratic by completing the square

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Explain Back: Finding alpha squared beta plus alpha beta squared

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Spot My Mistake: Forming an equation whose roots are alpha squared and beta squared

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WAEC Prep: Forming an equation whose roots are alpha over beta and beta over alpha

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Common Mistakes: Symmetric functions when the three roots of a cubic are involved

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Spot My Mistake: The factor theorem for a divisor of the form ax minus b

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Common Mistakes: Adding, subtracting and multiplying two polynomials

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Learn: The sum of the roots of a cubic read from its coefficients

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Worked Example: The sum of the products of the roots of a cubic taken two at a time

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Quiz: The product of the roots of a cubic

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Final Revision: Checking that the roots found satisfy the original equation

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Worked Example: Solving a quadratic inequality by sketching the parabola

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Explain Back: Solving an inequality that involves a modulus

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Show All Working: Solving a pair of simultaneous linear inequalities

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Spot My Mistake: Arrangements in which two particular objects must be kept apart

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Spot My Mistake: The identity that n choose r equals n choose n minus r

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Common Mistakes: Expressing a cos x plus b sin x in the form R cos of x minus alpha

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Final Revision: Proving an identity by working on one side only

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Learn: Solving sin x equals a given value between 0 and 360 degrees

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