1,003 prompts matching "Partial fractions with an irreducible quadratic factor"
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Teach me composite functions
Teach me what a composite function fg(x) means and how to find it, using function notation
Common Mistakes: Writing down the roots once the brackets are found
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on wri
Practice: Giving the roots correct to two decimal places
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Worked Example: The product of the roots as c over a
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Show All Working: Roots equal in magnitude but opposite in sign
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Practice: The value of alpha to the fourth plus beta to the fourth
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Practice: Finding the matching value of the second unknown
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Show All Working: The point of contact when a line touches a curve
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Worked Example: The degree of a polynomial in one variable
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Practice: Polynomial notation such as P of x
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Worked Example: The division algorithm for polynomials
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Practice: A division that leaves no remainder
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Show All Working: Synthetic division as a shorter route
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Worked Example: The remainder on dividing by x minus 3
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Practice: The remainder on dividing by 2x minus 1
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Common Mistakes: The remainder theorem applied to a quartic
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Common Mistakes: A cubic equation arising from a volume problem
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Worked Example: Sentences that are not propositions
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Practice: The conjunction of two propositions
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Worked Example: Conjunction in a three-variable truth table
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