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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 inverse of a 2 by 2 matrix as one over the determinant times the adjoint"

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Spot My Mistake: What the formula gives when the discriminant is nought

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

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Quiz: Finding the sum and the product without solving the equation

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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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Worked Example: Substituting into the quadratic and tidying up

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Quiz: Solving the quadratic that results from the substitution

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Spot My Mistake: A pair with equal roots, meaning one solution only

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Explain Back: The condition for the line never to meet the curve

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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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Worked Example: The division algorithm for polynomials

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Explain Back: Finding a coefficient when the remainder is given

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Common Mistakes: The remainder theorem applied to a quartic

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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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Spot My Mistake: The factor theorem applied to a quartic

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Common Mistakes: Using the factor theorem before dividing

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Worked Example: How many roots a cubic equation has

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Practice: A cubic with one real root and two complex ones

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