1,023 prompts matching "Set problem leading to a linear equation"
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Real-life application of testing the validity of an argument
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where testin
Real-life application of predicate logic
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Real-life application of biconditional statements
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Express in the form command word: completing the square
Set me a Cambridge Additional Maths question phrased 'Express x^2 + bx + c in the form (x+
Discriminant classification exam question
I am in SS 2. Give me a short structured question where I must use the discriminant to sta
Find the value of k: quadratic with equal roots
Set me an Additional Maths exam question of the type 'find the value of k for which the eq
Structured question: solve a quadratic inequality and state the range
I am in SS 2. Give me a structured Cambridge Additional Maths question asking me to solve
Common Mistakes: Writing down the roots once the brackets are found
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Worked Example: Halving the coefficient of x and squaring it
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Common Mistakes: Checking a completed square by expanding it again
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Worked Example: The product of the roots as c over a
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Common Mistakes: Roots that are reciprocals of one another
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Common Mistakes: A symmetric function needing the sum and product twice over
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Worked Example: The discriminant used as the test for intersection
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Common Mistakes: A line and a curve meeting once without the line being a tangent
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Worked Example: The degree of a polynomial in one variable
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Common Mistakes: Multiplying one polynomial by another
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Worked Example: The division algorithm for polynomials
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Common Mistakes: The degree of the quotient and of the remainder
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Worked Example: The remainder on dividing by x minus 3
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