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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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958 prompts matching "WAEC exam question: rate of change problem"

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Learn: Making one unknown the subject of the linear equation

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Worked Example: Substituting into the quadratic and tidying up

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Practice: Finding the matching value of the second unknown

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Worked Example: The discriminant used as the test for intersection

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Quiz: The condition for two points of intersection

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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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Final Revision: The degree of the product of two polynomials

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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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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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Learn: The statement of the remainder theorem

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Worked Example: The remainder on dividing by x minus 3

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Learn: The statement of the factor theorem

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

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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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Worked Example: How many roots a cubic equation has

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Final Revision: Checking a root of a cubic by substitution

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