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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 "Give me common mistakes students make in the binomial theorem"

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WAEC Prep: Forming an equation whose roots are each two more than the original

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Show All Working: Solving a quadratic by completing the square

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

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

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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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Spot My Mistake: The relations between roots and coefficients for a quartic

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Show All Working: Three roots in arithmetic progression in a cubic

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Learn: Solving a linear inequality, and reversing the sign on dividing by a negative

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Worked Example: Solving a quadratic inequality by sketching the parabola

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

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Worked Example: The difference between a permutation and a combination

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WAEC Prep: Pascal's triangle and the combination numbers in it

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Show All Working: Counting the handshakes, or the lines joining n points

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Learn: The Pythagorean identity, sin squared plus cos squared equals one

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

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Explain Back: The compound angle formula for tan of A plus B

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WAEC Prep: The three forms of the double angle formula for cosine

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Show All Working: The half angle formulae and the t-substitution

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