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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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883 prompts matching "Proving that a quadratic expression is positive for every real x"

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

Act as my SS2 Further Mathematics tutor. Give me five practice questions on working throug

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

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Common Mistakes: Checking a completed square by expanding it again

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Spot My Mistake: Finding a missing coefficient from a stated product of roots

Act as my SS2 Further Mathematics tutor. Work a question on finding a missing coefficient

WAEC Prep: Forming an equation whose roots are alpha plus one and beta plus one

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

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WAEC Prep: A pair that gives no real solution at all

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WAEC Prep: Finding the values of m for which a line cuts a curve twice

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

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Common Mistakes: Multiplying one polynomial by another

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Quiz: Dividing a quartic by a quadratic

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WAEC Prep: Dividing by a factor of the form ax plus b

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

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Common Mistakes: The remainder theorem applied to a quartic

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WAEC Prep: The factor theorem for a factor of the form ax plus b

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Quiz: Factorising a polynomial by grouping terms

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Spot My Mistake: Factorising the sum of two cubes

Act as my SS2 Further Mathematics tutor. Work a question on factorising the sum of two cub

Common Mistakes: Factorising fully, and knowing when to stop

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Quiz: A cubic with three distinct real roots

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Spot My Mistake: Finding the remaining roots once one is known

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