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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "The angle between two lines found from their gradients"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Learn: Factorising a quadratic whose coefficient of x squared is one

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Worked Example: Factorising a quadratic whose leading coefficient is not one

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Practice: Factorising a quadratic with a common factor taken out first

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Spot My Mistake: Solving a quadratic that must be rearranged before factorising

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Show All Working: Roots equal in magnitude but opposite in sign

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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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Learn: What makes an expression a polynomial

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Practice: Polynomial notation such as P of x

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Spot My Mistake: A polynomial written in descending powers

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Quiz: Dividing a quartic by a quadratic

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Practice: A division that leaves no remainder

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Show All Working: A remainder of nought, and what it means

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Worked Example: Testing a list of candidates to find a factor

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Quiz: Which values are worth testing as factors

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Practice: Showing that x plus 3 is a factor of a given polynomial

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Quiz: Factorising a polynomial by grouping terms

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Show All Working: Factorising a polynomial with fractional roots

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Learn: Solving a cubic once it has been factorised

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Worked Example: How many roots a cubic equation has

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