1,044 prompts matching "Why 2 root 3 and 5 root 3 count as similar surds"
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Spot My Mistake: Completing the square when the roots are not real
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Final Revision: Why completing the square always works
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Worked Example: Substituting a, b and c into the quadratic formula correctly
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Practice: Giving the roots correct to two decimal places
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Spot My Mistake: Finding a missing coefficient from a stated product of roots
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Show All Working: Roots equal in magnitude but opposite in sign
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Common Mistakes: Roots that are reciprocals of one another
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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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Worked Example: Substituting into the quadratic and tidying up
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Spot My Mistake: A pair with equal roots, meaning one solution only
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Worked Example: Testing a list of candidates to find a factor
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Show All Working: What the factor theorem says about the roots
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Worked Example: Factorising a cubic into a linear and a quadratic factor
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Show All Working: Factorising a polynomial with fractional roots
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Quiz: A cubic with three distinct real roots
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Spot My Mistake: Finding the remaining roots once one is known
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Final Revision: Checking a root of a cubic by substitution
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Worked Example: Premises and conclusion
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Final Revision: Counting the arrangements of people in a queue
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