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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,315 prompts matching "Rationalising and then simplifying fully"

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Learn: Reading a binary operation defined by a formula such as a*b = a + b - ab

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Worked Example: Testing whether a binary operation is closed on a given set

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Quiz: Testing a binary operation for commutativity

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Explain Back: Finding the identity element of a binary operation

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Worked Example: Collecting like surds in a single sum

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Quiz: Solving an index equation by writing both sides to the same base

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Quiz: Forming a quadratic equation whose roots are given

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Explain Back: The range of values of k for which the roots are real

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Worked Example: Finding one over alpha plus one over beta

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Quiz: Finding alpha cubed plus beta cubed

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Explain Back: Finding alpha squared beta plus alpha beta squared

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Worked Example: Evaluating a polynomial by substitution

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Explain Back: Finding an unknown coefficient given that a stated factor divides the 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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Explain Back: Forming a cubic equation whose three roots are given

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Worked Example: Solving a quadratic inequality by sketching the parabola

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Quiz: Solving a quadratic inequality using a sign table

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Explain Back: Solving an inequality that involves a modulus

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