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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,329 prompts matching "Structured question: add and simplify two polynomials"

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WAEC Prep: Forming an equation whose roots are alpha over beta and beta over alpha

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

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

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

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

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Worked Example: The difference between a permutation and a combination

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Explain Back: Choosing a committee with a stated number from each of two groups

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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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Worked Example: The identities for one plus tan squared and one plus cot squared

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

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Learn: Solving sin x equals a given value between 0 and 360 degrees

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Worked Example: Solving cos x equals a negative value, and finding both solutions

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Quiz: Solving tan x equals a given value, and the period of the tangent

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Learn: The shape, period and range of the sine curve

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