755 prompts matching "Practice: A cubic with one real root and two complex ones"
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Common Mistakes: Closure on a set of three elements under a stated rule
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Worked Example: Testing a*b against b*a for a given rule
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Show All Working: An operation that is associative but not commutative
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Common Mistakes: Subtraction as an example of neither law
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Worked Example: Testing whether star distributes over plus
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Show All Working: Using distributivity to simplify an expression
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Common Mistakes: Distributivity on a set of three elements
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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3
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Common Mistakes: Checking an inverse by working the operation both ways
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Worked Example: The law for multiplying powers of the same base
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Common Mistakes: Why the index laws need the bases to match
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Worked Example: Rewriting a negative index as a fraction
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Show All Working: Simplifying an expression that mixes the index types
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Show All Working: A word problem that leads to an indicial equation
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Common Mistakes: An indicial equation solved by substitution
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Worked Example: Writing an index statement as a logarithm
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Show All Working: The common logarithm, to base ten
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Common Mistakes: Reading a logarithm from a table
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Worked Example: The law for the logarithm of a quotient
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Show All Working: Solving a simple logarithmic equation
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