1,003 prompts matching "Partial fractions with an irreducible quadratic factor"
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Common Mistakes: The degree of the quotient and of the remainder
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Show All Working: A remainder of nought, and what it means
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Explain Back: Finding a coefficient so that a stated expression is a factor
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Worked Example: How many roots a cubic equation has
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Explain Back: A cubic with a repeated root
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Show All Working: Solving a cubic that must first be rearranged
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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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Explain Back: The truth table for a statement with two connectives
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Show All Working: Why a conditional and its converse are not equivalent
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Common Mistakes: Writing the converse, inverse and contrapositive of one statement
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Practice: What logical equivalence means
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Common Mistakes: Deciding between tautology, contradiction and contingency
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Worked Example: Premises and conclusion
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Common Mistakes: The fallacy of denying the antecedent
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Worked Example: Arranging r of n objects in a line
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Explain Back: Arrangements restricted at the first letter
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Show All Working: Arrangements of boys and girls alternately
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Common Mistakes: Arranging objects when some must stay in a fixed order
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Common Mistakes: A probability found by counting arrangements
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