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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,330 prompts matching "Structured question: new equation with roots 1/alpha and 1/beta"

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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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Show All Working: Solving a cubic equation by factorisation

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Final Revision: The zeros of a polynomial and where its graph cuts the x-axis

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Practice: Finding the third root of a cubic when two are known

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

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Common Mistakes: Three roots in geometric 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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Practice: Solving an inequality with the unknown in the denominator

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

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

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

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Common Mistakes: Expressing a cos x plus b sin x in the form R cos of x minus alpha

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

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

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Practice: Solving an equation of the form sin of 2x equals a given value

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Common Mistakes: Giving the general solution of a trigonometric equation

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

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Quiz: The tangent curve and its asymptotes

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Show All Working: Reading the solutions of a trigonometric equation off a graph

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