1,043 prompts matching "Testing the integers for closure under division"
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Explain Back: The zero product rule, and why it works
I have just studied the zero product rule, and why it works in my SS2 Further Mathematics
Spot My Mistake: Solving a quadratic that must be rearranged before factorising
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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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Practice: Forming an equation from a given sum and product
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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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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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WAEC Prep: Forming an equation whose roots are alpha plus one and beta plus one
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Show All Working: Forming an equation whose roots are three alpha and three beta
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