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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "A binary operation defined on the integers"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Find sum and product of roots of 3x^2 + 7x - 6 = 0

Act as my SS2 Further Maths tutor. Show me how to find the sum and product of the roots of

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Find sum and product of roots of x^2 - 8x + 15 = 0

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Explain sum and product of roots back to me

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Spot my mistake in a linear-quadratic system

Act as my SS2 Further Maths tutor. I tried substituting my linear equation into the quadra

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Worked example: is this line tangent to this curve

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Teach me what a polynomial is

Act as my SS2 Further Maths tutor. Teach me the definition of a polynomial, including term

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Teach me collecting like terms across two polynomials

You are my SS2 Further Mathematics tutor. Teach me collecting like terms across two polyno

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Worked example: subtracting two polynomials

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Give me practice adding and subtracting polynomials

Act as my SS2 Further Maths tutor. Give me eight practice questions on adding and subtract

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Spot my mistake adding polynomials

Act as my SS2 Further Maths tutor. I added two polynomials together but I think I mismatch

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Worked example: dividing a cubic by a linear polynomial

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Worked example: solving x^3-6x^2+11x-6=0

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Teach me compound statement symbols

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Spot my mistake identifying a compound statement symbol

Act as my SS2 Further Maths tutor. I identified the symbol used in a compound statement bu

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Worked example: truth table for a compound statement

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Spot my mistake in a truth table

Act as my SS2 Further Maths tutor. I constructed a truth table for a compound statement bu

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Explain truth tables back to me

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Worked example: proving two statements are logically equivalent

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Spot my mistake testing logical equivalence

Act as my SS2 Further Maths tutor. I compared the truth tables of two propositions to test

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Teach me what a tautology is

Act as my SS2 Further Maths tutor. Teach me what a tautology is in propositional logic, gi

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