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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,009 prompts matching "Practice: Deciding whether a point lies on a given line"

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Practice: The value of alpha to the fourth plus beta to the fourth

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Show All Working: Forming an equation whose roots are three alpha and three beta

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Spot My Mistake: A pair with equal roots, meaning one solution only

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Show All Working: A simultaneous pair in which the second equation is a circle

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Learn: Forming the quadratic that decides where a line meets a curve

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Worked Example: The discriminant used as the test for intersection

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WAEC Prep: Finding the values of m for which a line cuts a curve twice

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Worked Example: The degree of a polynomial in one variable

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Worked Example: The division algorithm for polynomials

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Explain Back: A division that leaves a constant remainder

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Show All Working: Synthetic division as a shorter route

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Worked Example: The remainder on dividing by x minus 3

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Spot My Mistake: Finding two coefficients from two remainder conditions

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Explain Back: Finding a coefficient so that a stated expression is a factor

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Learn: Factorising a cubic into three linear factors

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Worked Example: Factorising a cubic into a linear and a quadratic factor

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Practice: Factorising a quartic as the product of two quadratics

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Show All Working: Factorising a polynomial with fractional roots

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Worked Example: How many roots a cubic equation has

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Spot My Mistake: Finding the remaining roots once one is known

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