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Senior Secondary

Further Mathematics

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📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "The equation of the circle through three given points"

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Learn: What makes an expression in the roots symmetric

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Worked Example: The identity linking alpha squared plus beta squared to the sum and product

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WAEC Prep: Forming an equation whose roots are alpha plus one and beta plus one

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

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Worked Example: Substituting into the quadratic and tidying up

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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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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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Common Mistakes: Multiplying one polynomial by another

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Worked Example: The division algorithm for polynomials

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

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Common Mistakes: The remainder theorem applied to a quartic

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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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Quiz: A cubic with three distinct real roots

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WAEC Prep: A truth table with three propositions in it

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Common Mistakes: Comparing two statements by their truth tables

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