1,044 prompts matching "Structured question: logarithmic equation reducing to a quadratic"
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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
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
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
Teach me long division of polynomials
Act as my SS2 Further Maths tutor. Teach me how to divide a polynomial by a polynomial of
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
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
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
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
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
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
Teach me the truth table for negation
Act as my SS2 Further Maths tutor. Teach me how to construct the truth table for negation