1,117 prompts matching "Word problem leading to a factorable quadratic"
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Final Revision: Proving that root 2 is irrational
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Worked Example: Simplifying an expression carrying both a negative and a fractional index
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Practice: Converting between index form and logarithm form
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Spot My Mistake: The power law of logarithms
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Final Revision: Sketching the graph of a logarithmic function
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Learn: The sum and the product of the roots read from the coefficients
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Worked Example: The discriminant, and what each of its three cases means
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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original
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Learn: Finding alpha squared plus beta squared from the sum and product
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Worked Example: Finding one over alpha plus one over beta
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Quiz: Finding alpha cubed plus beta cubed
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Practice: Finding alpha minus beta from the sum and the product
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Spot My Mistake: Forming an equation whose roots are alpha squared and beta squared
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Final Revision: Checking a symmetric-function answer by solving the equation outright
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Worked Example: Evaluating a polynomial by substitution
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Final Revision: The zeros of a polynomial and where its graph cuts the x-axis
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Learn: The sum of the roots of a cubic read from its coefficients
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Worked Example: The sum of the products of the roots of a cubic taken two at a time
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Quiz: The product of the roots of a cubic
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Practice: Finding the third root of a cubic when two are known
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