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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,308 prompts matching "Proving a logarithmic identity from the laws"

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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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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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Learn: The degree of a polynomial and its leading coefficient

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Explain Back: Finding an unknown coefficient given that a stated factor divides the polynomial

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Spot My Mistake: The factor theorem for a divisor of the form ax minus b

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

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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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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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Worked Example: Solving a quadratic inequality by sketching the parabola

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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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Learn: The meaning of n factorial, and how to evaluate it

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Worked Example: The number of arrangements of n different objects in a row

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Explain Back: Arrangements in which two particular objects must stay together

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