1,045 prompts matching "Structured question: find an unknown coefficient using the remainder theorem"
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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
Quiz me on solving cubic equations
Act as my SS2 Further Maths tutor. Quiz me with three cubic equations to solve completely,
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
Explain solving cubic equations back to me
Act as my SS2 Further Maths tutor. I'll explain the full process for solving a cubic equat
Teach me what a proposition is
Act as my SS2 Further Maths tutor. Teach me the difference between a simple proposition an
Teach me compound statement symbols
Act as my SS2 Further Maths tutor. Teach me the standard symbols used for compound stateme
Quiz me on identifying propositions
Act as my SS2 Further Maths tutor. Quiz me by giving me five sentences and asking me to id
Give me practice identifying compound propositions
Act as my SS2 Further Maths tutor. Give me eight sentences and ask me to classify each as
Explain propositions back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words the difference between a p
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 why negation reverses every truth value
Act as my SS2 Further Maths tutor. Quiz me by giving me combinations of true and false val
Quiz me on when a conjunction of three statements is true
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
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
Explain truth tables back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to build a truth table
Spot my mistake forming a converse
Act as my SS2 Further Maths tutor. I tried to form the converse of a conditional statement
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