1,045 prompts matching "Why a rational number added to an irrational one stays irrational"
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Worked Example: The division algorithm for 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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Final Revision: Writing the result of a polynomial division out in full
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Learn: The statement of the remainder theorem
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Worked Example: The remainder on dividing by x minus 3
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Quiz: The remainder on dividing by x plus 2
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Spot My Mistake: Finding two coefficients from two remainder conditions
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Final Revision: A word problem that uses the remainder theorem
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Quiz: A cubic with three distinct real roots
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Final Revision: Checking a root of a cubic by substitution
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Learn: What makes a sentence a proposition
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Worked Example: Sentences that are not propositions
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Quiz: The truth value of a simple proposition
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Spot My Mistake: The negation of a proposition
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Worked Example: Conjunction in a three-variable truth table
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Spot My Mistake: Building a truth table column by column
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Learn: The conditional statement, if p then q
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Worked Example: The truth table for the conditional
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Spot My Mistake: The contrapositive of a conditional
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