767 prompts matching "Listing elements of a set from a description"
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Common Mistakes: Writing down the roots once the brackets are found
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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
You are my personal SS2 Further Mathematics tutor. Teach me deriving the quadratic formula
Show All Working: Choosing between factorising and the formula
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Common Mistakes: A sign error in the formula, and how to catch it
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Show All Working: Roots equal in magnitude but opposite in sign
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Learn: What makes an expression in the roots symmetric
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Show All Working: Forming an equation whose roots are three alpha and three beta
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Common Mistakes: A symmetric function needing the sum and product twice over
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Show All Working: A simultaneous pair in which the second equation is a circle
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Common Mistakes: A word problem giving one linear and one quadratic equation
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Learn: Forming the quadratic that decides where a line meets 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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Show All Working: Adding and subtracting two polynomials
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Common Mistakes: Multiplying one polynomial by another
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Show All Working: Synthetic division as a shorter route
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Common Mistakes: The remainder theorem applied to a quartic
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Show All Working: What the factor theorem says about the roots
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Common Mistakes: Using the factor theorem before dividing
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