1,028 prompts matching "Structured question: equation of a circle from centre and a point"
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Explain substitution method back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to use the substitutio
Spot my mistake in a linear-quadratic system
Act as my SS2 Further Maths tutor. I tried substituting my linear equation into the quadra
Why simultaneous linear-quadratic systems can have two solutions
Act as my SS2 Further Maths tutor. Explain to me why solving a linear equation together wi
Spot my mistake finding a tangent condition
Act as my SS2 Further Maths tutor. I substituted my line into the curve equation to find w
Teach me what a polynomial is
Act as my SS2 Further Maths tutor. Teach me the definition of a polynomial, including term
Worked example: adding two polynomials
Act as my SS2 Further Maths tutor. Show me a full worked example of adding two polynomials
Worked example: subtracting two polynomials
Act as my SS2 Further Maths tutor. Show me a full worked example of subtracting one polyno
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
Act as my SS2 Further Maths tutor. Show me a complete worked example of dividing a cubic p
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
Give me practice factorising polynomials with the factor theorem
Act as my SS2 Further Maths tutor. Give me six practice questions where I use the factor t
Spot my mistake using the remainder theorem
Act as my SS2 Further Maths tutor. I used the remainder theorem to find a remainder but I
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 what a proposition is
Act as my SS2 Further Maths tutor. Teach me the difference between a simple proposition an
Teach me the truth table for negation
Act as my SS2 Further Maths tutor. Teach me how to construct the truth table for negation
Teach me the truth table for conjunction
Act as my SS2 Further Maths tutor. Teach me how to construct the truth table for conjuncti
Teach me the truth table for disjunction
Act as my SS2 Further Maths tutor. Teach me how to construct the truth table for disjuncti
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