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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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686 prompts matching "Common mistakes with set notation"

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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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Final Revision: One root twice the other, and what that gives

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Worked Example: The identity linking alpha squared plus beta squared to the sum and product

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Quiz: The value of one over alpha squared plus one over beta squared

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Show All Working: Forming an equation whose roots are three alpha and three beta

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Final Revision: Using a symmetric function to find an unknown coefficient

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Worked Example: Substituting into the quadratic and tidying up

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Quiz: Solving the quadratic that results from the substitution

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Show All Working: A simultaneous pair in which the second equation is a circle

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Final Revision: Checking both solutions in both equations

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Worked Example: The discriminant used as the test for intersection

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Quiz: The condition for two points of intersection

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Show All Working: The point of contact when a line touches a curve

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Final Revision: A word problem about a line and a parabola

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Worked Example: The degree of a polynomial in one variable

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Quiz: The leading term and the constant term

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Show All Working: Adding and subtracting two polynomials

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Final Revision: The degree of the product of two polynomials

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Worked Example: The division algorithm for polynomials

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