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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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978 prompts matching "Practice: A binary operation set out as a table"

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Show All Working: Roots equal in magnitude but opposite in sign

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

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Common Mistakes: Roots that are reciprocals of one another

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

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Explain Back: The value of alpha minus beta, all squared

I have just studied the value of alpha minus beta, all squared in my SS2 Further Mathemati

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

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Common Mistakes: A symmetric function needing the sum and product twice over

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Worked Example: Substituting into the quadratic and tidying up

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

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Common Mistakes: A word problem giving one linear and one quadratic equation

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Explain Back: The condition for the line never to meet the curve

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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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Explain Back: Evaluating P of 2 for a given polynomial

I have just studied evaluating P of 2 for a given polynomial in my SS2 Further Mathematics

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Show All Working: Adding and subtracting two polynomials

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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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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

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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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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

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