589 prompts matching "Show that command word: surd simplification"
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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
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
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 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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Common Mistakes: Writing the converse, inverse and contrapositive of one statement
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Common Mistakes: Simplifying a compound statement using the laws
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Common Mistakes: Deciding between tautology, contradiction and contingency
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Common Mistakes: The fallacy of denying the antecedent
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Common Mistakes: Arranging objects when some must stay in a fixed order
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