1,045 prompts matching "A binary operation defined on the integers"
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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
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
Act as my SS2 Further Maths tutor. I'll explain the sum and product of roots formulas back
Spot my mistake in a linear-quadratic system
Act as my SS2 Further Maths tutor. I tried substituting my linear equation into the quadra
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
Teach me collecting like terms across two polynomials
You are my SS2 Further Mathematics tutor. Teach me collecting like terms across two polyno
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
Spot my mistake adding polynomials
Act as my SS2 Further Maths tutor. I added two polynomials together but I think I mismatch
Worked example: dividing a cubic by a linear polynomial
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Worked example: solving x^3-6x^2+11x-6=0
Act as my SS2 Further Maths tutor. Show me a complete worked example of solving the cubic
Teach me compound statement symbols
Act as my SS2 Further Maths tutor. Teach me the standard symbols used for compound stateme
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
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
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
Teach me what a tautology is
Act as my SS2 Further Maths tutor. Teach me what a tautology is in propositional logic, gi