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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 identity that A times its adjoint gives the determinant times the identity"

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Learn: Making the coefficient of x squared equal to one first

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Worked Example: Halving the coefficient of x and squaring it

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Explain Back: An answer left in surd form after completing the square

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Spot My Mistake: Completing the square when the roots are not real

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Learn: Deriving the quadratic formula by completing the square

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Worked Example: Substituting a, b and c into the quadratic formula correctly

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Explain Back: Leaving the roots of a quadratic in surd form

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Learn: The sum of the roots as minus b over a

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Worked Example: The product of the roots as c over a

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Learn: What makes an expression in the roots symmetric

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Explain Back: The value of alpha minus beta, all squared

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Spot My Mistake: The value of alpha over beta plus beta over alpha

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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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Explain Back: Writing the answers as ordered pairs

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Worked Example: The discriminant used as the test for intersection

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

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Spot My Mistake: Finding the values of c for which a line is a tangent

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Worked Example: The degree of a polynomial in one variable

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Learn: Setting out the division of a cubic by a linear expression

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