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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,044 prompts matching "Proving the sum formula by pairing the terms"

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Use the remainder theorem on x^3 + 3x^2 - x - 3 divided by x - 1

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Use the remainder theorem on x^3 - 6x^2 + 11x - 6 divided by x - 2

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Quiz me on the finding the remainder when a cubic is divided by a linear factor

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Teach me how to determine the validity of an argument

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Worked example: finding the middle term of a binomial expansion

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Teach me dividing complex numbers by rationalising with the conjugate

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Teach me finding the determinant of a 2x2 matrix

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Worked example: find the determinant of [[5,2],[3,4]]

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Worked example: find the term in x^3 in the expansion of (2x-1)^6

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Worked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'

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Real-life application of the quadratic formula

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Give me a 5-minute recap of the quadratic formula

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Practice: Working through a quadratic by completing the square, step by step

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WAEC Prep: The minimum value of a quadratic found by completing the square

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Worked Example: Substituting a, b and c into the quadratic formula correctly

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Quiz: A negative value of b in the quadratic formula

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Spot My Mistake: What the formula gives when the discriminant is nought

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WAEC Prep: What the formula gives when the discriminant is negative

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Common Mistakes: A sign error in the formula, and how to catch it

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Learn: The sum of the roots as minus b over a

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