1,043 prompts matching "Practice: Rationalising a denominator with a whole number multiplying the surd"
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Worked Example: The discriminant used as the test for intersection
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Explain Back: The condition for the line never to meet the curve
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Show All Working: The point of contact when a line touches a curve
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Worked Example: The degree of a polynomial in one variable
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Worked Example: The division algorithm for polynomials
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Show All Working: Synthetic division as a shorter route
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Common Mistakes: The degree of the quotient and of the remainder
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Worked Example: The remainder on dividing by x minus 3
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Explain Back: Finding a coefficient when the remainder is given
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Common Mistakes: The remainder theorem applied to a quartic
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Show All Working: What the factor theorem says about the roots
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Common Mistakes: Using the factor theorem before dividing
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Explain Back: The disjunction of two propositions
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Show All Working: Reading the final column of a truth table
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Common Mistakes: Comparing two statements by their truth tables
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Worked Example: The truth table for the conditional
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Explain Back: The inverse of a conditional
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Common Mistakes: Writing the converse, inverse and contrapositive of one statement
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Worked Example: The truth table for the biconditional
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Show All Working: The distributive laws in logic
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