1,323 prompts matching "The factor theorem applied to a quartic"
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Learn: Reading a binary operation defined by a formula such as a*b = a + b - ab
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Quiz: Testing a binary operation for commutativity
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Practice: Testing a binary operation for associativity
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Worked Example: Collecting like surds in a single sum
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Spot My Mistake: Squaring a bracket that contains a surd
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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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Practice: Converting between index form and logarithm form
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Quiz: Forming a quadratic equation whose roots are given
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Final Revision: Solving a disguised quadratic by substitution
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Worked Example: Finding one over alpha plus one over beta
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Quiz: Finding alpha cubed plus beta cubed
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Explain Back: Finding alpha squared beta plus alpha beta squared
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Spot My Mistake: Forming an equation whose roots are alpha squared and beta squared
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Worked Example: Evaluating a polynomial by substitution
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Explain Back: Forming a cubic equation whose three roots are given
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Quiz: Solving a quadratic inequality using a sign table
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Explain Back: Solving an inequality that involves a modulus
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Spot My Mistake: Arrangements in which two particular objects must be kept apart
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Quiz: Choosing a committee of r people from n
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