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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 "Give me practice factorising polynomials with the factor theorem"

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

Worked Example: Rationalising a denominator that is a single surd

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Show All Working: Checking a rationalised answer by decimal approximation

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

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Common Mistakes: A surd equation that has no real solution

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Show All Working: Evaluating a repeated operation such as a*(b*c)

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

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Show All Working: Showing a set is not closed by a single counter-example

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Show All Working: An operation that is associative but not commutative

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Explain Back: Showing distributivity fails by a counter-example

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Show All Working: Using distributivity to simplify an expression

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Worked Example: Rewriting a negative index as a fraction

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

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Show All Working: A word problem that leads to an indicial equation

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Common Mistakes: An indicial equation solved by substitution

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Common Mistakes: Reading a logarithm from a table

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Explain Back: Splitting a single logarithm into several

I have just studied splitting a single logarithm into several in my SS1 Further Mathematic

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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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Worked Example: Converting a logarithm to base ten so that tables can be used

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Explain Back: A logarithmic equation written in two different bases

I have just studied a logarithmic equation written in two different bases in my SS1 Furthe

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