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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,326 prompts matching "Finding the remaining roots once one is known"

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Practice: Factorising a cubic completely once one factor is known

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Common Mistakes: Solving an equation in which the unknown sits under a root

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Practice: Finding the third root of a cubic when two are known

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Learn: Finding two unknown forces by Lami's theorem

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WAEC Prep: Finding a coefficient of a cubic given one of its roots

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Spot My Mistake: Finding two unknown tensions from three forces in equilibrium

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Explain Back: Rationalising a denominator of the form a plus root b using the conjugate

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Show All Working: Finding a coefficient given a stated relation between the roots

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Explain Back: Finding an unknown coefficient given that a stated factor divides the polynomial

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

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Spot My Mistake: Finding the adjoint of a 3 by 3 matrix

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WAEC Prep: When the matrix method is worth the work for three unknowns

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WAEC Prep: Why one component vanishes when the direction is chosen well

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Spot My Mistake: Drawing the triangle of forces to scale to find an unknown force

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Spot My Mistake: Using concurrence to find the direction of an unknown third force

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Spot My Mistake: Why the probabilities in a distribution must sum to one

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WAEC Prep: The probability of at least one event in a Poisson distribution

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WAEC Prep: Why the total area under the normal curve is one

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Spot My Mistake: The proportion of a normal distribution within one, two and three standard deviations

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WAEC Prep: The standard normal distribution, with mean nought and variance one

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