717 prompts matching "Proving that root 2 is irrational"
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WAEC Prep: Checking the sum and product against the solved roots
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Learn: What makes an expression in the roots symmetric
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WAEC Prep: Forming an equation whose roots are alpha plus one and beta plus one
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Common Mistakes: A symmetric function needing the sum and product twice over
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WAEC Prep: A pair that gives no real solution at all
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Show All Working: A simultaneous pair in which the second equation is a circle
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Common Mistakes: A word problem giving one linear and one quadratic equation
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Learn: Forming the quadratic that decides where a line meets a curve
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Common Mistakes: A line and a curve meeting once without the line being a tangent
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WAEC Prep: Expressions that are not polynomials, and why not
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Common Mistakes: Multiplying one polynomial by another
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Show All Working: Synthetic division as a shorter route
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Common Mistakes: The degree of the quotient and of the remainder
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Common Mistakes: The remainder theorem applied to a quartic
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Common Mistakes: Using the factor theorem before dividing
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Common Mistakes: Factorising fully, and knowing when to stop
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WAEC Prep: The relation between the roots and the constant term
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Show All Working: Solving a cubic that must first be rearranged
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Common Mistakes: A cubic equation arising from a volume problem
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Show All Working: Translating an English sentence into logical symbols
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