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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 "The degree of a polynomial in one variable"

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Show All Working: Solving an equation written in terms of a binary operation

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Learn: Simplifying a surd by extracting the largest perfect square

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Quiz: Multiplying two surds and simplifying the result

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

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

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Quiz: Solving an index equation by writing both sides to the same base

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

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Quiz: The factor theorem, and testing whether x minus a is a factor

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Practice: Factorising a cubic completely once one factor is 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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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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Explain Back: Arrangements in which two particular objects must stay together

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