Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →755 prompts matching "The relations between roots and coefficients for a quartic"
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Final Revision: Deciding whether a given rule really is a binary operation
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Subscribe to unlock allWAEC Prep: A set closed under one operation but not another
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Subscribe to unlock allWorked Example: Testing a*b against b*a for a given rule
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Subscribe to unlock allExplain Back: What it means for an operation to be associative
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Subscribe to unlock allCommon Mistakes: Subtraction as an example of neither law
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Subscribe to unlock allWorked Example: Testing whether star distributes over plus
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Subscribe to unlock allFinal Revision: Why distributivity links two operations rather than one
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Subscribe to unlock allWorked Example: Finding the identity element from a rule such as a*b = a + b - 3
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Subscribe to unlock allWAEC Prep: The inverse of the identity element itself
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Subscribe to unlock allCommon Mistakes: Checking an inverse by working the operation both ways
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Subscribe to unlock allShow All Working: Simplifying an expression with letters and indices
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Subscribe to unlock allCommon Mistakes: Why the index laws need the bases to match
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Subscribe to unlock allFinal Revision: Evaluating a numerical expression using the index laws
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Subscribe to unlock allWAEC Prep: Evaluating 8 to the power two-thirds
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Subscribe to unlock allShow All Working: Simplifying an expression that mixes the index types
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Subscribe to unlock allWAEC Prep: Why the logarithm of a negative number does not exist
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Subscribe to unlock allShow All Working: The common logarithm, to base ten
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Subscribe to unlock allFinal Revision: Proving a logarithmic identity from the laws
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Subscribe to unlock allWorked Example: Writing out the terms of a sequence from its nth term
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Subscribe to unlock allWAEC Prep: A finite sequence and an infinite sequence
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