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Senior Secondary

Further Mathematics

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1,045 prompts matching "Structured question: find an unknown coefficient using the remainder theorem"

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WAEC Prep: What the formula gives when the discriminant is negative

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Show All Working: Choosing between factorising and the formula

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Common Mistakes: A sign error in the formula, and how to catch it

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WAEC Prep: Checking the sum and product against the solved roots

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Common Mistakes: Roots that are reciprocals of one another

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Final Revision: One root twice the other, and what that gives

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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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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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Explain Back: Writing the answers as ordered pairs

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

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Worked Example: The discriminant used as the test for intersection

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Practice: The condition for the line to be a tangent

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

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Quiz: The leading term and the constant term

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Common Mistakes: Multiplying one polynomial by another

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Common Mistakes: The degree of the quotient and of the remainder

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Final Revision: A factor theorem question set in the WAEC style

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WAEC Prep: The relation between the roots and the constant term

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