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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,042 prompts matching "Combining several index laws in one simplification"

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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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Final Revision: Why completing the square always works

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Learn: Deriving the quadratic formula by completing the square

You are my personal SS2 Further Mathematics tutor. Teach me deriving the quadratic formula

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

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Final Revision: A word problem solved with the quadratic formula

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

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

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Explain Back: Finding a missing coefficient from a stated sum of roots

I have just studied finding a missing coefficient from a stated sum of roots in my SS2 Fur

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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

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Common Mistakes: Roots that are reciprocals of one another

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Learn: What makes an expression in the roots symmetric

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

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Quiz: The value of one over alpha squared plus one over beta squared

Act as my SS2 Further Mathematics tutor and quiz me on the value of one over alpha squared

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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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Final Revision: Using a symmetric function to find an unknown coefficient

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Worked Example: Substituting into the quadratic and tidying up

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Quiz: Solving the quadratic that results from the substitution

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