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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 "Distance from a point to the centre of a circle"

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Explain Back: Leaving the roots of a quadratic in surd form

I have just studied leaving the roots of a quadratic in surd form in my SS2 Further Mathem

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Show All Working: Choosing between factorising and the formula

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on choosing betwee

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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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Common Mistakes: Roots that are reciprocals of one another

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Explain Back: The value of alpha minus beta, all squared

I have just studied the value of alpha minus beta, all squared in my SS2 Further Mathemati

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

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Quiz: Solving the quadratic that results from the substitution

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Show All Working: A simultaneous pair in which the second equation is a circle

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Practice: The condition for the line to be a tangent

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Spot My Mistake: Finding the values of c for which a line is a tangent

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Worked Example: The degree of a polynomial in one variable

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Final Revision: The degree of the product of two 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

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Common Mistakes: The remainder theorem applied to a quartic

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

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Show All Working: What the factor theorem says about the roots

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Common Mistakes: Using the factor theorem before dividing

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Final Revision: A factor theorem question set in the WAEC style

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