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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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698 prompts matching "Solving a quadratic whose discriminant is negative"

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Common Mistakes: Checking a completed square by expanding it again

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Worked Example: Substituting a, b and c into the quadratic formula correctly

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

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Show All Working: Choosing between factorising and the formula

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

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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

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Common Mistakes: Roots that are reciprocals of one another

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

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

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

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Worked Example: The division algorithm for polynomials

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Quiz: Dividing a quartic by a quadratic

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Practice: A division that leaves no remainder

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Explain Back: A division that leaves a constant remainder

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