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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →
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525 prompts matching "A probability distribution table for a discrete random variable"

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Worked Example: Factorising a quadratic whose leading coefficient is not one

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Quiz: Factorising a difference of two squares in order to solve it

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Practice: Factorising a quadratic with a common factor taken out first

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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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Quiz: Completing the square on x squared plus 6x

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Practice: Working through a quadratic by completing the square, step by step

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

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Practice: Giving the roots correct to two decimal places

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

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Spot My Mistake: Finding a missing coefficient from a stated product of roots

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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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Quiz: The value of one over alpha squared plus one over beta squared

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Practice: The value of alpha to the fourth plus beta to the fourth

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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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