1,043 prompts matching "Learn: The Pythagorean identity, sin squared plus cos squared equals one"
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Quiz: Finding the sum and the product without solving the equation
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Common Mistakes: Roots that are reciprocals of one another
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Final Revision: One root twice the other, and what that gives
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Common Mistakes: A symmetric function needing the sum and product twice over
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Worked Example: Substituting into the quadratic and tidying up
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Quiz: Solving the quadratic that results from the substitution
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Practice: Finding the matching value of the second unknown
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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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Worked Example: The discriminant used as the test for intersection
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Quiz: The condition for two points of intersection
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Practice: The condition for the line to be a tangent
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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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Common Mistakes: A line and a curve meeting once without the line being a tangent
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Learn: What makes an expression a polynomial
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Worked Example: The degree of a polynomial in one variable
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Quiz: The leading term and the constant term
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Common Mistakes: Multiplying one polynomial by another
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