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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,321 prompts matching "Factorising fully, and knowing when to stop"

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Learn: The sum and the product of the roots read from the coefficients

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

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Practice: The condition for a quadratic equation to have equal roots

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

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Practice: Finding alpha minus beta from the sum and the product

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Common Mistakes: Symmetric functions when the three roots of a cubic are involved

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Learn: The degree of a polynomial and its leading coefficient

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WAEC Prep: Sketching a cubic from its factorised form

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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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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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Worked Example: The difference between a permutation and a combination

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Final Revision: Combinations used with the addition and multiplication principles

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

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

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Worked Example: The shape, period and range of the cosine curve

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Common Mistakes: Sketching two trigonometric curves on the same axes to find where they meet

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