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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "IGCSE Additional Maths Y10: No real roots, and what the discriminant shows — Pra"

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

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Worked Example: The product of the roots as c over a

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Quiz: Finding the sum and the product without solving the equation

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Practice: Forming an equation from a given sum and product

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Worked Example: The identity linking alpha squared plus beta squared to the sum and product

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Common Mistakes: A symmetric function needing the sum and product twice over

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Worked Example: Substituting into the quadratic and tidying up

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Common Mistakes: A word problem giving one linear and one quadratic equation

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Common Mistakes: A line and a curve meeting once without the line being a tangent

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Final Revision: A word problem about a line and a parabola

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Worked Example: The degree of a polynomial in one variable

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Quiz: The leading term and the constant term

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Worked Example: The division algorithm for polynomials

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Common Mistakes: The degree of the quotient and of the remainder

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Worked Example: Testing a list of candidates to find a factor

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Worked Example: Factorising a cubic into a linear and a quadratic factor

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Final Revision: Checking a factorisation by expanding it again

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Worked Example: How many roots a cubic equation has

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Worked Example: Sentences that are not propositions

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Quiz: Disjunction and the inclusive or

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