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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 "Simplifying the answer once the denominator is rational"

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Spot the examiner's trick in a factorisation question

I am in SS 2. Give me a quadratic equation exam question that has a common trap, such as a

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Explain back: completing the square when the coefficient of x squared is not one

I have just studied completing the square when the coefficient of x squared is not one in

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Explain Back: An answer left in surd form after completing the square

I have just studied an answer left in surd form after completing the square in my SS2 Furt

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Spot My Mistake: Completing the square when the roots are not real

Act as my SS2 Further Mathematics tutor. Work a question on completing the square when the

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

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Common Mistakes: Roots that are reciprocals of one another

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Spot My Mistake: The value of alpha over beta plus beta over alpha

Act as my SS2 Further Mathematics tutor. Work a question on the value of alpha over beta p

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

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Explain Back: Writing the answers as ordered pairs

I have just studied writing the answers as ordered pairs in my SS2 Further Mathematics cla

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Worked Example: The discriminant used as the test for intersection

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Common Mistakes: Multiplying one polynomial by another

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Learn: Setting out the division of a cubic by a linear expression

You are my personal SS2 Further Mathematics tutor. Teach me setting out the division of a

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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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Final Revision: Writing the result of a polynomial division out in full

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of w

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Explain Back: Finding a coefficient when the remainder is given

I have just studied finding a coefficient when the remainder is given in my SS2 Further Ma

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Common Mistakes: The remainder theorem applied to a quartic

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Spot My Mistake: The factor theorem applied to a quartic

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Common Mistakes: Using the factor theorem before dividing

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Practice: Factorising a quartic as the product of two quadratics

Act as my SS2 Further Mathematics tutor. Give me five practice questions on factorising a

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