466 prompts matching "Show that (sqrt3+1)^2 = 4+2sqrt3"
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Real-life application of biconditional statements
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where bicond
Real-life application of the condition for a line to be tangent to a curve
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the co
Hence solve command word: quadratic equations
I am in SS 2. Explain what 'hence solve' means in an exam question, using an example where
Cambridge-style question: quadratic formula derivation
I am in SS 2. Ask me to derive the quadratic formula from ax^2+bx+c=0 by completing the sq
Prove command word: line does not intersect a curve
I am in SS 2. Give me a 'prove that' style question where I must show a given line never m
Common command word mistakes SS2 students make
Tell me the most common mistakes SS2 Further Maths students make when responding to comman
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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Common Mistakes: A sign error in the formula, and how to catch it
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Common Mistakes: A symmetric function needing the sum and product twice over
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Common Mistakes: A word problem giving one linear and one quadratic equation
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Common Mistakes: A line and a curve meeting once without the line being a tangent
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Common Mistakes: Multiplying one polynomial by another
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Common Mistakes: The degree of the quotient and of the remainder
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Common Mistakes: The remainder theorem applied to a quartic
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Common Mistakes: Using the factor theorem before dividing
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Common Mistakes: Factorising fully, and knowing when to stop
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Common Mistakes: A cubic equation arising from a volume problem
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Common Mistakes: Translating a symbolic statement back into English
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Common Mistakes: Comparing two statements by their truth tables
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