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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,235 prompts matching "Structured question: quadratic formula with exact surd answer"

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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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Common Mistakes: Solving an exponential equation using logarithms

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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

I have just studied the range of values of k for which the roots are real in my SS3 Furthe

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Worked Example: Finding one over alpha plus one over beta

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

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Explain Back: Finding alpha squared beta plus alpha beta squared

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Common Mistakes: Symmetric functions when the three roots of a cubic are involved

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Worked Example: Evaluating a polynomial by substitution

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Practice: Factorising a cubic completely once one factor is known

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

I have just studied finding an unknown coefficient given that a stated factor divides the

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Common Mistakes: Adding, subtracting and multiplying two polynomials

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Worked Example: The sum of the products of the roots of a cubic taken two at a time

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

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Explain Back: Forming a cubic equation whose three roots are given

I have just studied forming a cubic equation whose three roots are given in my SS3 Further

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Common Mistakes: Three roots in geometric progression in a cubic

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Explain Back: Solving an inequality that involves a modulus

I have just studied solving an inequality that involves a modulus in my SS3 Further Mathem

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

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Worked Example: The number of arrangements of n different objects in a row

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Practice: Arrangements when some of the objects are identical

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