755 prompts matching "The factor theorem applied to a quartic"
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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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Learn: Telling a rational number from an irrational one
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Learn: What makes two surds similar
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Worked Example: What makes two surds equal
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Practice: Collecting similar surds in an expression
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Explain Back: Why 2 root 3 and 5 root 3 count as similar surds
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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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Practice: Multiplying a whole number by a surd
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Explain Back: Multiplying root a by root b
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Final Revision: Checking a conjugate answer by multiplying back
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Learn: Solving an equation with a single square root term
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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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Common Mistakes: A surd equation that has no real solution
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Learn: What a binary operation actually is
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Quiz: Evaluating a*b from a given rule
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Practice: A binary operation set out as a table
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