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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 "Sum and product of roots of a cubic exam question"

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Explain Back: Multiplying root a by root b

I have just studied multiplying root a by root b in my SS1 Further Mathematics class. Let

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Worked Example: Rationalising a denominator that is a single surd

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Spot My Mistake: Rationalising and then cancelling a common factor

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Worked Example: Why multiplying by the conjugate clears the surd

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Explain Back: The difference of two squares applied to surd conjugates

I have just studied the difference of two squares applied to surd conjugates in my SS1 Fur

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

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Worked Example: Reading the symbol used for a binary operation

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Worked Example: Testing the even numbers for closure under addition

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on testin

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Worked Example: Testing a*b against b*a for a given rule

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Worked Example: Testing whether star distributes over plus

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Quiz: Left distributivity and right distributivity

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Explain Back: Showing distributivity fails by a counter-example

I have just studied showing distributivity fails by a counter-example in my SS1 Further Ma

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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3

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Explain Back: The law for a product raised to a power

I have just studied the law for a product raised to a power in my SS1 Further Mathematics

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Worked Example: Rewriting a negative index as a fraction

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Quiz: A negative index on a fraction, and turning it upside down

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Worked Example: Solving an indicial equation where one side must be factorised first

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Worked Example: Writing an index statement as a logarithm

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Explain Back: The logarithm of one, in any base

I have just studied the logarithm of one, in any base in my SS1 Further Mathematics class.

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

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