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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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456 prompts matching "Prove command word: line does not intersect a curve"

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Worked Example: Collecting like surds in a single sum

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Explain Back: Rationalising a denominator of the form a plus root b using the conjugate

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Show All Working: Expressing a number in the form a root b

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Learn: The multiplication and division laws of indices used together

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Worked Example: Simplifying an expression carrying both a negative and a fractional index

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

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Learn: The sum and the product of the roots read from the coefficients

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

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Explain Back: The range of values of k for which the roots are real

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Show All Working: Solving a quadratic by completing the square

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Learn: Finding alpha squared plus beta squared from the sum and product

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Worked Example: Finding one over alpha plus one over beta

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Explain Back: Finding alpha squared beta plus alpha beta squared

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Show All Working: Finding a coefficient given a stated relation between the roots

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Learn: The degree of a polynomial and its leading coefficient

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Worked Example: Evaluating a polynomial by substitution

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Explain Back: Finding an unknown coefficient given that a stated factor divides the polynomial

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Show All Working: Solving a cubic equation by factorisation

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

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