1,045 prompts matching "Learn: The formula for the sum of the first n terms of a geometric progression"
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Common Mistakes: Checking a completed square by expanding it again
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Show All Working: Roots equal in magnitude but opposite in sign
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Spot My Mistake: A pair with equal roots, meaning one solution only
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Common Mistakes: A word problem giving one linear and one quadratic equation
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Spot My Mistake: A polynomial written in descending powers
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Show All Working: Adding and subtracting two polynomials
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Quiz: Dividing a quartic by a quadratic
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Spot My Mistake: A division that leaves a linear remainder
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Spot My Mistake: Finding two coefficients from two remainder conditions
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Quiz: Which values are worth testing as factors
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Worked Example: Factorising a cubic into a linear and a quadratic factor
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Show All Working: Factorising a polynomial with fractional roots
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Common Mistakes: Factorising fully, and knowing when to stop
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Worked Example: How many roots a cubic equation has
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Quiz: A cubic with three distinct real roots
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Common Mistakes: A cubic equation arising from a volume problem
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Worked Example: Sentences that are not propositions
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Show All Working: Translating an English sentence into logical symbols
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Common Mistakes: Translating a symbolic statement back into English
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Worked Example: Conjunction in a three-variable truth table
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