442 prompts matching "Showing distributivity fails by a counter-example"
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Worked Example: The identity linking alpha squared plus beta squared to the sum and product
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Worked Example: Substituting into the quadratic and tidying up
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Worked Example: The discriminant used as the test for intersection
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Worked Example: The degree of a polynomial in one variable
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Common Mistakes: Multiplying one polynomial by another
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Learn: Setting out the division of a cubic by a linear expression
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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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WAEC Prep: Dividing by a factor of the form ax plus b
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Quiz: The remainder on dividing by x plus 2
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Practice: The remainder on dividing by 2x minus 1
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Worked Example: Testing a list of candidates to find a factor
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Practice: Showing that x plus 3 is a factor of a given polynomial
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Worked Example: Factorising a cubic into a linear and a quadratic factor
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Quiz: Factorising a polynomial by grouping terms
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Final Revision: Checking a factorisation by expanding it again
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Worked Example: How many roots a cubic equation has
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Final Revision: Checking a root of a cubic by substitution
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Worked Example: Sentences that are not propositions
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Worked Example: Conjunction in a three-variable truth table
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