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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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731 prompts matching "Forming an equation whose roots are alpha over beta and beta over alpha"

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

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Common Mistakes: Rationalising when both terms of the denominator are surds

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

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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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Learn: What closure means for a binary operation

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Learn: What it means for an operation to be commutative

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Worked Example: Testing whether star distributes over plus

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Practice: Multiplication distributing over addition in ordinary arithmetic

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Learn: What an identity element is

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Learn: Reading index notation, the base and the exponent

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Learn: Why any non-zero number to the power nought is one

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Practice: A fractional index with numerator one, read as a root

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Common Mistakes: Writing a root as a fractional index before simplifying

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Show All Working: Solving a simple logarithmic equation

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Common Mistakes: Rejecting a root that makes a logarithm undefined

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Learn: The change of base formula

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Common Mistakes: A logarithmic equation that becomes a quadratic

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Learn: What a sequence is, and what a term means

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Learn: What makes a sequence an arithmetic progression

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