1,334 prompts matching "Test me under exam conditions on polynomials and the remainder/factor theorems"
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Common Mistakes: Solving an exponential equation using logarithms
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Learn: The sum and the product of the roots read from the coefficients
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Quiz: Forming a quadratic equation whose roots are given
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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original
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Common Mistakes: Proving that a quadratic expression is positive for every real x
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Learn: Finding alpha squared plus beta squared from the sum and product
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Practice: Finding alpha minus beta from the sum and the product
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Practice: Factorising a cubic completely once one factor is known
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Worked Example: Solving a quadratic inequality by sketching the parabola
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Spot My Mistake: Showing the solution of an inequality on a number line
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Common Mistakes: The range of values of x for which an expression stays positive
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Quiz: The number of arrangements of r objects chosen from n
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Practice: Arrangements when some of the objects are identical
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Spot My Mistake: Arrangements in which two particular objects must be kept apart
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Practice: Choosing a committee that must contain one particular person
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Common Mistakes: Selections in which at least one of a kind must appear
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Learn: The Pythagorean identity, sin squared plus cos squared equals one
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Common Mistakes: Expressing a cos x plus b sin x in the form R cos of x minus alpha
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Learn: Solving sin x equals a given value between 0 and 360 degrees
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Quiz: Solving tan x equals a given value, and the period of the tangent
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