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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,326 prompts matching "Rationalising the denominator when it's a surd minus a surd"

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Learn: The union of two sets written in set-builder notation

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Practice: The difference of two sets, A minus B

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Explain Back: Finding the identity element of a binary operation

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Common Mistakes: Solving an equation in which the unknown sits under a root

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Explain Back: The laws of logarithms for a product and for a quotient

I have just studied the laws of logarithms for a product and for a quotient in my SS3 Furt

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WAEC Prep: The change of base formula for logarithms

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Show All Working: Solving a logarithmic equation and rejecting the invalid root

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Final Revision: Sketching the graph of a logarithmic function

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Worked Example: The discriminant, and what each of its three cases means

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Practice: The condition for a quadratic equation to have equal roots

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Practice: Finding alpha minus beta from the sum and the product

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Learn: The degree of a polynomial and its leading coefficient

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Final Revision: The zeros of a polynomial and where its graph cuts the x-axis

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Learn: The sum of the roots of a cubic read from its coefficients

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Practice: Finding the third root of a cubic when two are known

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Learn: Solving a linear inequality, and reversing the sign on dividing by a negative

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Worked Example: Solving a quadratic inequality by sketching the parabola

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Common Mistakes: The range of values of x for which an expression stays positive

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Final Revision: The region of the plane satisfying a set of linear inequalities

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Learn: The meaning of n factorial, and how to evaluate it

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