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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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284 prompts matching "dividing a cubic by a linear polynomial"

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

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Explain Back: Forming a cubic equation whose three roots are given

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

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Common Mistakes: Three roots in geometric progression in a cubic

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Worked Example: Solving a quadratic inequality by sketching the parabola

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Final Revision: The region of the plane satisfying a set of linear inequalities

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

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Spot My Mistake: Solving an equation by first applying a Pythagorean identity

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WAEC Prep: Solving an equation by first applying a double angle formula

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Show All Working: Solving a cos x plus b sin x equals c by the R method

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Spot My Mistake: The general form ax plus by plus c equals nought

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Final Revision: The focus-directrix definition shared by all the conics

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Show All Working: Replacing two parallel forces by a single resultant

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Learn: Two particles joined by a light inextensible string over a smooth pulley

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Learn: Angular velocity, and how it relates to linear speed

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Final Revision: The greatest extension reached by a falling particle on an elastic string

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Spot my mistake: Negating the leading diagonal and swapping the other two entries when inverting a 2 by 2 matrix

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