1,018 prompts matching "Practice: An operation that is not commutative, with a counter-example"
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Find sum and product of roots of x^2 + 4x - 12 = 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 3x^2 + 7x - 6 = 0
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Find sum and product of roots of x^2 - 8x + 15 = 0
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Quiz me on the sum and product of the roots of a cubic
Act as my SS2 Further Maths tutor. Quiz me with five quadratic equations and ask me to fin
Spot my mistake in a linear-quadratic system
Act as my SS2 Further Maths tutor. I tried substituting my linear equation into the quadra
WAEC-style simultaneous equation problem
Act as my SS2 Further Maths tutor. Set me a WAEC Further Mathematics word problem that lea
Spot my mistake adding polynomials
Act as my SS2 Further Maths tutor. I added two polynomials together but I think I mismatch
Teach me long division of polynomials
Act as my SS2 Further Maths tutor. Teach me how to divide a polynomial by a polynomial of
Spot my mistake in polynomial long division
Act as my SS2 Further Maths tutor. I divided a cubic polynomial by a linear one using long
Explain polynomial long division back to me
Act as my SS2 Further Maths tutor. I'll explain the steps of polynomial long division back
Worked example: using the factor theorem to factorise a cubic
Act as my SS2 Further Maths tutor. Show me a full worked example of using the factor theor
Spot my mistake solving a cubic equation
Act as my SS2 Further Maths tutor. I found one root of my cubic equation correctly but I t
Sum and product of roots of a cubic equation
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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
Quiz me on the inclusive sense of 'or' in a disjunction
Act as my SS2 Further Maths tutor. Quiz me by giving me combinations of true and false val
Give me practice constructing truth tables
Act as my SS2 Further Maths tutor. Give me five compound statements combining negation, co
Spot my mistake in a truth table
Act as my SS2 Further Maths tutor. I constructed a truth table for a compound statement bu
Teach me converse and inverse propositions
Act as my SS2 Further Maths tutor. Teach me how to form the converse and the inverse of a
Worked example: converse and inverse of a statement
Act as my SS2 Further Maths tutor. Show me a full worked example of writing the converse a
Spot my mistake testing logical equivalence
Act as my SS2 Further Maths tutor. I compared the truth tables of two propositions to test