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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,164 prompts matching "A quadratic inequality that has to be rearranged first"

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

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Common Mistakes: Solving an exponential equation using logarithms

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

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Common Mistakes: Adding, subtracting and multiplying two polynomials

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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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Show All Working: Three roots in arithmetic progression in a cubic

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Common Mistakes: Three roots in geometric progression in a cubic

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Show All Working: Solving a pair of simultaneous linear inequalities

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

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Show All Working: Arrangements of the letters of a given word

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Show All Working: Counting the handshakes, or the lines joining n points

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Common Mistakes: Selections in which at least one of a kind must appear

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Explain Back: The compound angle formula for tan of A plus B

I have just studied the compound angle formula for tan of A plus B in my SS3 Further Mathe

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Show All Working: The half angle formulae and the t-substitution

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Common Mistakes: Expressing a cos x plus b sin x in the form R cos of x minus alpha

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Show All Working: Solving a cos x plus b sin x equals c by the R method

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Common Mistakes: Giving the general solution of a trigonometric equation

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