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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,333 prompts matching "WAEC-style multi-mark question on completing the square"

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Worked Example: The discriminant, and what each of its three cases means

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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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Learn: Finding alpha squared plus beta squared from the sum and product

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Worked Example: Finding one over alpha plus one over beta

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

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Learn: The degree of a polynomial and its leading coefficient

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Worked Example: Evaluating a polynomial by substitution

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Quiz: The factor theorem, and testing whether x minus a is a factor

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

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

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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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Learn: The meaning of n factorial, and how to evaluate it

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

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