1,179 prompts matching "Practice: A binary operation set out as a table"
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Common Mistakes: Adding, subtracting and multiplying two polynomials
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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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Explain Back: Forming a cubic equation whose three roots are given
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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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Worked Example: Solving a quadratic inequality by sketching the parabola
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Explain Back: Solving an inequality that involves a modulus
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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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Worked Example: The number of arrangements of n different objects in a row
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Explain Back: Arrangements in which two particular objects must stay together
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Show All Working: Arrangements of the letters of a given word
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Worked Example: The difference between a permutation and a combination
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Explain Back: Choosing a committee with a stated number from each of two groups
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Show All Working: Counting the handshakes, or the lines joining n points
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Worked Example: The identities for one plus tan squared and one plus cot squared
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Explain Back: The compound angle formula for tan of A plus B
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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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Worked Example: Solving cos x equals a negative value, and finding both solutions
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