1,045 prompts matching "Learn: Connected rates of change through the chain rule"
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Final Revision: One root twice the other, and what that gives
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Worked Example: The identity linking alpha squared plus beta squared to the sum and product
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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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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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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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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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Worked Example: The division algorithm for polynomials
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Show All Working: Synthetic division as a shorter route
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Worked Example: The remainder on dividing by x minus 3
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Show All Working: A remainder of nought, and what it means
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Common Mistakes: The remainder theorem applied to a quartic
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Final Revision: A word problem that uses the remainder theorem
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Practice: Showing that x plus 3 is a factor of a given polynomial
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Spot My Mistake: The factor theorem applied to a quartic
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Show All Working: What the factor theorem says about the roots
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