755 prompts matching "Use the remainder theorem on x^3 - 2x^2 + 3x - 4 divided by x - 1"
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Common sign errors in algebraic manipulation
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Common mistakes with composite and inverse functions
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Quiz: Writing a recurring decimal as a fraction to show it is rational
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Show All Working: Classifying a mixed list of numbers as rational or irrational
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Common Mistakes: Why a rational number added to an irrational one stays irrational
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Final Revision: Approximating a surd to three decimal places
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Quiz: Reducing two surds to the same root in order to compare them
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Practice: Collecting similar surds in an expression
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Show All Working: Deciding whether two given surds are equal without a calculator
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Common Mistakes: Expressing root 50 as a multiple of root 2
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Final Revision: Surds that cannot be combined at all
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Worked Example: Adding two surds that simplify to the same root
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Show All Working: Simplifying a surd expression that contains brackets
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Final Revision: Simplifying a fraction whose numerator and denominator are both surds
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Worked Example: Rationalising a denominator that is a single surd
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Show All Working: Checking a rationalised answer by decimal approximation
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Final Revision: Checking a conjugate answer by multiplying back
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Worked Example: Squaring both sides safely when solving a surd equation
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Quiz: Checking a surd equation for extraneous roots
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Practice: Solving an equation with a surd on each side
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