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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 "The difference of two squares applied to surd conjugates"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Quiz: Completing the square on x squared plus 6x

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Practice: Working through a quadratic by completing the square, step by step

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Spot My Mistake: Completing the square when the roots are not real

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Quiz: A negative value of b in the quadratic formula

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

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

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Learn: Making one unknown the subject of the linear equation

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Practice: Finding the matching value of the second unknown

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

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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: Testing a list of candidates to find a factor

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

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