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Senior Secondary

Further Mathematics

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1,333 prompts matching "Laws of indices with three different bases in one line"

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Spot My Mistake: Squaring a bracket that contains a surd

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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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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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Quiz: Forming a quadratic equation whose roots are given

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WAEC Prep: Forming an equation whose roots are each two more than the original

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Show All Working: Solving a quadratic by completing the square

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Common Mistakes: Proving that a quadratic expression is positive for every real x

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

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Quiz: Finding alpha cubed plus beta cubed

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Spot My Mistake: Forming an equation whose roots are alpha squared and beta squared

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WAEC Prep: Forming an equation whose roots are alpha over beta and beta over alpha

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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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WAEC Prep: Sketching a cubic from its factorised form

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Show All Working: Solving a cubic equation by factorisation

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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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