1,312 prompts matching "Learn: Deriving the quadratic formula by completing the square"
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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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Spot My Mistake: The relations between roots and coefficients for a quartic
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Final Revision: Checking that the roots found satisfy the original equation
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Practice: Solving an inequality with the unknown in the denominator
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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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Final Revision: The region of the plane satisfying a set of linear inequalities
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Worked Example: The number of arrangements of n different objects in a row
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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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Explain Back: Arrangements in which two particular objects must stay together
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Common Mistakes: Arrangements restricted at the first or the last place
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Final Revision: Counting the number plates or codes that can be formed under a rule
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Worked Example: The difference between a permutation and a combination
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Spot My Mistake: The identity that n choose r equals n choose n minus r
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WAEC Prep: Pascal's triangle and the combination numbers in it
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Final Revision: Combinations used with the addition and multiplication principles
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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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