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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 "Writing the result of a polynomial division out in full"

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Quiz: Solving an index equation by writing both sides to the same base

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

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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original

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

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

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

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Spot My Mistake: Showing the solution of an inequality on a number line

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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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Show All Working: Arrangements of the letters of a given word

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

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

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Practice: The compound angle formula for cosine of A minus B

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

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Practice: The effect of a in y equals a sin x

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