551 prompts matching "Practice: A division that leaves no remainder"
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Common Mistakes: Symmetric functions when the three roots of a cubic are involved
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Show All Working: Solving a cubic equation by factorisation
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Learn: The sum of the roots of a cubic read from its coefficients
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Show All Working: Three roots in arithmetic progression in a cubic
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Common Mistakes: Three roots in geometric progression in a cubic
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Learn: Solving a linear inequality, and reversing the sign on dividing by a negative
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Show All Working: Solving a pair of simultaneous linear inequalities
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Common Mistakes: The range of values of x for which an expression stays positive
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Learn: The meaning of n factorial, and how to evaluate it
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Show All Working: Arrangements of the letters of a given word
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Common Mistakes: Arrangements restricted at the first or the last place
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Learn: The meaning of n choose r, and how to evaluate it
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Show All Working: Counting the handshakes, or the lines joining n points
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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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Show All Working: The half angle formulae and the t-substitution
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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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Show All Working: Solving a cos x plus b sin x equals c by the R method
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Learn: The shape, period and range of the sine curve
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