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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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754 prompts matching "Structured question: arrangements with a restriction"

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Worked Example: The division algorithm for polynomials

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on the di

Practice: A division that leaves no remainder

Act as my SS2 Further Mathematics tutor. Give me five practice questions on a division tha

Explain Back: A division that leaves a constant remainder

I have just studied a division that leaves a constant remainder in my SS2 Further Mathemat

Show All Working: Synthetic division as a shorter route

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on synthetic divis

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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Practice: The remainder on dividing by 2x minus 1

Act as my SS2 Further Mathematics tutor. Give me five practice questions on the remainder

Explain Back: Finding a coefficient when the remainder is given

I have just studied finding a coefficient when the remainder is given in my SS2 Further Ma

Show All Working: A remainder of nought, and what it means

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a remainder of

Common Mistakes: The remainder theorem applied to a quartic

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Worked Example: Testing a list of candidates to find a factor

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Practice: Showing that x plus 3 is a factor of a given polynomial

Act as my SS2 Further Mathematics tutor. Give me five practice questions on showing that x

Explain Back: Finding a coefficient so that a stated expression is a factor

I have just studied finding a coefficient so that a stated expression is a factor in my SS

Show All Working: What the factor theorem says about the roots

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on what the factor

Common Mistakes: Using the factor theorem before dividing

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Worked Example: Factorising a cubic into a linear and a quadratic factor

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Practice: Factorising a quartic as the product of two quadratics

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Common Mistakes: Factorising fully, and knowing when to stop

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Worked Example: How many roots a cubic equation has

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Show All Working: Solving a cubic that must first be rearranged

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on solving a cubic

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