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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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341 prompts matching "Set-builder notation basics"

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

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

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Learn: Making one unknown the subject of the linear equation

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Worked Example: Substituting into the quadratic and tidying up

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WAEC Prep: A pair that gives no real solution at all

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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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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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Show All Working: The point of contact when a line touches 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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Learn: What makes an expression a polynomial

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Worked Example: The degree of a polynomial in one variable

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WAEC Prep: Expressions that are not polynomials, and why not

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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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Worked Example: The division algorithm for polynomials

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WAEC Prep: Dividing by a factor of the form ax plus b

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Show All Working: Synthetic division as a shorter route

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