1,045 prompts matching "Identity and inverse together, and what they give the set"
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Common Mistakes: Checking a completed square by expanding it again
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Quiz: A negative value of b in the quadratic formula
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Explain Back: Leaving the roots of a quadratic in surd form
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Common Mistakes: Roots that are reciprocals of one another
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Quiz: The value of one over alpha squared plus one over beta squared
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Explain Back: The value of alpha minus beta, all squared
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Spot My Mistake: The value of alpha over beta plus beta over alpha
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Show All Working: Forming an equation whose roots are three alpha and three beta
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Quiz: Solving the quadratic that results from the substitution
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Explain Back: Writing the answers as ordered pairs
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Show All Working: A simultaneous pair in which the second equation is a circle
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Common Mistakes: A word problem giving one linear and one quadratic equation
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Quiz: The condition for two points of intersection
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Explain Back: The condition for the line never to meet the curve
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Spot My Mistake: Finding the values of c for which a line is a tangent
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Show All Working: The point of contact when a line touches a curve
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Show All Working: Adding and subtracting two polynomials
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Common Mistakes: Multiplying one polynomial by another
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Show All Working: Synthetic division as a shorter route
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Quiz: The remainder on dividing by x plus 2
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