1,045 prompts matching "The effect of a scalar on the determinant"
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Common Mistakes: Checking a completed square by expanding it again
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Learn: Deriving the quadratic formula by completing the square
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Show All Working: Choosing between factorising and the formula
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Explain Back: Finding a missing coefficient from a stated sum of roots
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Spot My Mistake: Finding a missing coefficient from a stated product of roots
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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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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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Learn: Forming the quadratic that decides where a line meets a curve
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Final Revision: A word problem about a line and a parabola
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Learn: What makes an expression a polynomial
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Explain Back: Evaluating P of 2 for a given polynomial
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Show All Working: A remainder of nought, and what it means
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Worked Example: Testing a list of candidates to find a factor
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Practice: Showing that x plus 3 is a factor of a given polynomial
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Show All Working: What the factor theorem says about the roots
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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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