1,045 prompts matching "Practice: Arrangements when some of the objects are identical"
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Explain polynomial long division back to me
Act as my SS2 Further Maths tutor. I'll explain the steps of polynomial long division back
Divide a polynomial by a quadratic
Act as my SS2 Further Maths tutor. Show me a worked example of dividing a polynomial of de
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
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
Teach me what a proposition is
Act as my SS2 Further Maths tutor. Teach me the difference between a simple proposition an
Quiz me on why negation reverses every truth value
Act as my SS2 Further Maths tutor. Quiz me by giving me combinations of true and false val
Worked example: truth table for a compound statement
Act as my SS2 Further Maths tutor. Show me a full worked example of constructing the truth
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
Quiz me on converse and inverse
Act as my SS2 Further Maths tutor. Quiz me by giving me four conditional statements and as
Spot my mistake forming a converse
Act as my SS2 Further Maths tutor. I tried to form the converse of a conditional statement
Explain converse and inverse back to me
Act as my SS2 Further Maths tutor. I'll explain the difference between the converse and th
Teach me logically equivalent propositions
Act as my SS2 Further Maths tutor. Teach me how to determine whether two compound proposit
Quiz me on biconditional statements
Act as my SS2 Further Maths tutor. Quiz me with four pairs of propositions and ask me each
Teach me what a tautology is
Act as my SS2 Further Maths tutor. Teach me what a tautology is in propositional logic, gi
Worked example: proving a statement is a tautology
Act as my SS2 Further Maths tutor. Show me a full worked example of using a truth table to
Spot my mistake identifying a tautology
Act as my SS2 Further Maths tutor. I built a truth table to check if a statement was a tau
Teach me what a logical argument is
Act as my SS2 Further Maths tutor. Teach me what a logical argument is in propositional lo
Worked example: testing an argument for validity
Act as my SS2 Further Maths tutor. Show me a full worked example of testing a simple logic
Spot my mistake testing an argument
Act as my SS2 Further Maths tutor. I tested a logical argument for validity using a truth