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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,043 prompts matching "Dividing one complex number by another using the conjugate"

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

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

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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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Explain Back: The value of alpha minus beta, all squared

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

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WAEC Prep: Forming an equation whose roots are alpha plus one and beta plus one

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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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Explain Back: Writing the answers as ordered pairs

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Spot My Mistake: A pair with equal roots, meaning one solution only

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

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

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Learn: Forming the quadratic that decides where a line meets a curve

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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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Explain Back: The condition for the line never to meet the curve

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

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Show All Working: The point of contact when a line touches a curve

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Quiz: The leading term and the constant term

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Final Revision: The degree of the product of two polynomials

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