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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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755 prompts matching "Use the remainder theorem on x^3 + 3x^2 - x - 3 divided by x - 1"

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Practice: Collecting similar surds in an expression

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Common Mistakes: Expressing root 50 as a multiple of root 2

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Final Revision: Surds that cannot be combined at all

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Worked Example: Adding two surds that simplify to the same root

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Final Revision: Simplifying a fraction whose numerator and denominator are both surds

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Worked Example: Rationalising a denominator that is a single surd

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Worked Example: Squaring both sides safely when solving a surd equation

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Quiz: Checking a surd equation for extraneous roots

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Practice: Solving an equation with a surd on each side

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Spot My Mistake: Solving a surd equation that leads to a quadratic

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Common Mistakes: A surd equation that has no real solution

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Final Revision: A word problem that leads to an equation in surd form

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Practice: A binary operation set out as a table

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Spot My Mistake: A binary operation defined on a set of three elements

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Common Mistakes: A binary operation that is ordinary addition in disguise

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Practice: Testing a set for closure under multiplication

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Spot My Mistake: Reading closure off an operation table

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Common Mistakes: Closure on a set of three elements under a stated rule

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Quiz: Reading commutativity off a symmetrical operation table

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Practice: An operation that is not commutative, with a counter-example

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