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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Use the remainder theorem on x^3 + 3x^2 - x - 3 divided by x - 1"

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

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Common Mistakes: Adding, subtracting and multiplying two polynomials

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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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Practice: Solving an inequality with the unknown in the denominator

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WAEC Prep: Writing a solution set in interval notation

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Worked Example: The number of arrangements of n different objects in a row

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Quiz: The number of arrangements of r objects chosen from n

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Practice: Arrangements when some of the objects are identical

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Explain Back: Arrangements in which two particular objects must stay together

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WAEC Prep: Circular permutations of n objects round a table

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Practice: Choosing a committee that must contain one particular person

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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: Selections in which at least one of a kind must appear

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Quiz: The compound angle formula for sine of A plus B

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Practice: The compound angle formula for cosine of A minus B

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