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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,333 prompts matching "Quiz: Completing the square on x squared plus 6x"

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

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Learn: The multiplication and division laws of indices used together

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

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Final Revision: Sketching the graph of a logarithmic function

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Practice: The condition for a quadratic equation to have equal roots

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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original

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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: 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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Final Revision: Checking a symmetric-function answer by solving the equation outright

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Final Revision: The zeros of a polynomial and where its graph cuts the x-axis

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Spot My Mistake: The relations between roots and coefficients for a quartic

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Final Revision: Checking that the roots found satisfy the original equation

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Learn: Solving a linear inequality, and reversing the sign on dividing by a negative

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Spot My Mistake: Showing the solution of an inequality on a number line

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

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Final Revision: The region of the plane satisfying a set of linear inequalities

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

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Final Revision: Counting the number plates or codes that can be formed under a rule

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Worked Example: The difference between a permutation and a combination

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