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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,044 prompts matching "Number of elements in a set from a Venn diagram region count"

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

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on forming an equa

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Common Mistakes: A symmetric function needing the sum and product twice over

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

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Common Mistakes: A word problem giving one linear and one quadratic equation

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

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Common Mistakes: A line and a curve meeting once without the line being a tangent

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Practice: Polynomial notation such as P of x

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Show All Working: Adding and subtracting two polynomials

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Common Mistakes: Multiplying one polynomial by another

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Show All Working: Synthetic division as a shorter route

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Common Mistakes: The remainder theorem applied to a quartic

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Learn: The statement of the factor theorem

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WAEC Prep: The factor theorem for a factor of the form ax plus b

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Show All Working: What the factor theorem says about the roots

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Common Mistakes: Using the factor theorem before dividing

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Learn: Factorising a cubic into three linear factors

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Show All Working: Factorising a polynomial with fractional roots

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Common Mistakes: Factorising fully, and knowing when to stop

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Learn: Solving a cubic once it has been factorised

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Show All Working: Solving a cubic that must first be rearranged

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