1,045 prompts matching "Structured question: find an unknown coefficient using the remainder theorem"
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Spot my mistake completing the square
Act as my SS2 Further Maths tutor. I tried to complete the square for x^2+6x+5=0 but I thi
Why does completing the square work
Act as my SS2 Further Maths tutor. Explain to me why the completing the square method work
Derive the quadratic formula
Act as my SS2 Further Maths tutor. Show me, step by step, how to derive the quadratic form
Explain the quadratic formula back to me
Act as my SS2 Further Maths tutor. Let me explain the quadratic formula and how to apply i
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 with sum and product of roots
Act as my SS2 Further Maths tutor. I calculated the sum and product of the roots of 2x^2-5
Give me practice on simultaneous equations
Act as my SS2 Further Maths tutor. Give me six practice problems on simultaneous equations
WAEC-style simultaneous equation problem
Act as my SS2 Further Maths tutor. Set me a WAEC Further Mathematics word problem that lea
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
Quiz me on line and curve intersection conditions
Act as my SS2 Further Maths tutor. Quiz me with three different line-and-curve pairs, and
Use the remainder theorem on x^3 - 2x^2 + 3x - 4 divided by x - 1
Act as my SS2 Further Maths tutor. Show me step by step how to use the remainder theorem t
Use the remainder theorem on 2x^3 + x^2 - 5x + 2 divided by x + 2
Act as my SS2 Further Maths tutor. Show me step by step how to use the remainder theorem t
Use the remainder theorem on x^3 + 3x^2 - x - 3 divided by x - 1
Act as my SS2 Further Maths tutor. Show me step by step how to use the remainder theorem t
Use the remainder theorem on x^3 - 6x^2 + 11x - 6 divided by x - 2
Act as my SS2 Further Maths tutor. Show me step by step how to use the remainder theorem t
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 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
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