1,045 prompts matching "Learn: Connected rates of change through the chain rule"
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Common Mistakes: Checking a completed square by expanding it again
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Show All Working: Roots equal in magnitude but opposite in sign
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Show All Working: Forming an equation whose roots are three alpha and three beta
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Final Revision: Using a symmetric function to find an unknown coefficient
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Spot My Mistake: A pair with equal roots, meaning one solution only
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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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Final Revision: A word problem about a line and a parabola
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Spot My Mistake: A polynomial written in descending powers
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Show All Working: Adding and subtracting two polynomials
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Spot My Mistake: A division that leaves a linear remainder
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Spot My Mistake: Finding two coefficients from two remainder conditions
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Worked Example: Factorising a cubic into a linear and a quadratic factor
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Show All Working: Factorising a polynomial with fractional roots
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Common Mistakes: Factorising fully, and knowing when to stop
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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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Show All Working: Solving a cubic that must first be rearranged
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Common Mistakes: A cubic equation arising from a volume problem
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Worked Example: Sentences that are not propositions
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