755 prompts matching "The relations between roots and coefficients for a quartic"
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Worked Example: Adding two surds that simplify to the same root
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Spot My Mistake: Rationalising and then cancelling a common factor
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Show All Working: Finding a and b when a plus b root 2 equals a given surd
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Quiz: Testing the odd numbers for closure under addition
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Final Revision: Why closure is checked before any other property
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Learn: What it means for one operation to distribute over another
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Learn: Reading index notation, the base and the exponent
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Quiz: The law for dividing powers of the same base
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Practice: The law for a power raised to another power
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Spot My Mistake: The law for a quotient raised to a power
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Learn: The law for the logarithm of a product
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Quiz: The law for the logarithm of a power
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Learn: The change of base formula
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Quiz: The formula for the nth term of an arithmetic progression
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Learn: The formula for the sum of the first n terms of an arithmetic progression
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Show All Working: The sum of the terms lying between two given positions
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Common Mistakes: Proving the sum formula by pairing the terms
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Quiz: The formula for the nth term of a geometric progression
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Spot My Mistake: Finding the common ratio when the third and sixth terms are given
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Learn: The formula for the sum of the first n terms of a geometric progression
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