755 prompts matching "Use the remainder theorem on x^3 + 3x^2 - x - 3 divided by x - 1"
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Worked Example: Solving an indicial equation where one side must be factorised first
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Quiz: An indicial equation that becomes a quadratic in a power
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Practice: Solving 2 to the power x equals 32
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Spot My Mistake: An indicial equation involving fractional bases
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Spot My Mistake: The logarithm of the base itself
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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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Quiz: The law for the logarithm of a power
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Practice: Combining two logarithms into one
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Common Mistakes: Rejecting a root that makes a logarithm undefined
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Explain Back: A logarithmic equation written in two different bases
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Spot My Mistake: A logarithm to base e, the natural logarithm
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Common Mistakes: A logarithmic equation that becomes a quadratic
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Final Revision: Using change of base to prove a stated relation
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Worked Example: Writing out the terms of a sequence from its nth term
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Quiz: Finding the nth term of a linear sequence
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Practice: Finding the nth term of a quadratic sequence
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Explain Back: Spotting the pattern in a sequence of squares or cubes
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Explain Back: Finding the first term from two given terms
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Common Mistakes: An arithmetic progression with a negative common difference
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