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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "An indicial equation with the unknown in the exponent on both sides"

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Practice: Rationalising a denominator of the form root a

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

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

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Practice: Converting between index form and logarithm form

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Show All Working: Solving a quadratic by completing the square

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

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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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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

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Worked Example: Solving a quadratic inequality by sketching the parabola

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Explain Back: Solving an inequality that involves a modulus

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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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Practice: Arrangements when some of the objects are identical

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Common Mistakes: Arrangements restricted at the first or the last place

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Explain Back: Choosing a committee with a stated number from each of two groups

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Worked Example: The identities for one plus tan squared and one plus cot squared

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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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Worked Example: Solving cos x equals a negative value, and finding both solutions

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