1,045 prompts matching "Find the tangent to y = x^2 - 4x + 7 at x = 3"
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Learn: The sum of the roots as minus b over a
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Worked Example: The product of the roots as c over a
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Practice: Forming an equation from a given sum and product
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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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Common Mistakes: A symmetric function needing the sum and product twice over
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Explain Back: Writing the answers as ordered pairs
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Common Mistakes: A word problem giving one linear and one quadratic equation
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Final Revision: Checking both solutions in both equations
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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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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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Practice: Polynomial notation such as P of x
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Explain Back: Evaluating P of 2 for a given polynomial
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Common Mistakes: Multiplying one polynomial by another
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Final Revision: The degree of the product of two polynomials
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Learn: Setting out the division of a cubic by a linear expression
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