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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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629 prompts matching "Assuming a quadratic with a negative discriminant has no roots at all"

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Practice: Finding the matching value of the second unknown

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Common Mistakes: A word problem giving one linear and one quadratic equation

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Worked Example: The discriminant used as the test for intersection

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

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Worked Example: The degree of a polynomial in one variable

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Practice: Polynomial notation such as P of x

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Explain Back: Evaluating P of 2 for a given polynomial

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Show All Working: Adding and subtracting two polynomials

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Common Mistakes: Multiplying one polynomial by another

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Worked Example: The division algorithm for polynomials

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Practice: A division that leaves no remainder

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Show All Working: A remainder of nought, and what it means

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Practice: Showing that x plus 3 is a factor of a given polynomial

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

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Worked Example: Factorising a cubic into a linear and a quadratic factor

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Practice: Factorising a quartic as the product of two quadratics

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Common Mistakes: Factorising fully, and knowing when to stop

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Worked Example: Sentences that are not propositions

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Practice: Negation combined with a compound statement

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Explain Back: The truth table for a statement with two connectives

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