906 prompts matching "Practice: Solving modulus of x greater than a"
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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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Common Mistakes: Proving that a quadratic expression is positive for every real x
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Worked Example: Finding one over alpha plus one over beta
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Show All Working: Finding a coefficient given a stated relation between the roots
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Worked Example: Evaluating a polynomial by substitution
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Common Mistakes: Adding, subtracting and multiplying two polynomials
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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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Final Revision: Checking that the roots found satisfy the original equation
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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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Show All Working: Counting the handshakes, or the lines joining n points
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Final Revision: Combinations used with the addition and multiplication principles
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Worked Example: The identities for one plus tan squared and one plus cot squared
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Show All Working: The half angle formulae and the t-substitution
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Final Revision: Proving an identity by working on one side only
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Final Revision: Losing solutions by dividing through by cos x
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Common Mistakes: Sketching two trigonometric curves on the same axes to find where they meet
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