683 prompts matching "Structured question: three linked function sub-questions"
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Quiz me on the using the discriminant to describe the roots
Act as my SS2 Further Mathematics tutor and quiz me on using the discriminant to describe
Spot my mistake using the quadratic formula
Act as my SS2 Further Maths tutor. I used the quadratic formula on 2x^2-3x-5=0 but I think
Teach me writing the sum and product of the roots from the coefficients
You are my SS2 Further Mathematics tutor. Teach me writing the sum and product of the root
Give me practice on sum and product of roots
Act as my SS2 Further Maths tutor. Give me eight practice questions on finding the sum and
Worked example: reading the solutions as points of intersection
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on readin
Spot my mistake in a linear-quadratic system
Act as my SS2 Further Maths tutor. I tried substituting my linear equation into the quadra
Worked example: is this line tangent to this curve
Act as my SS2 Further Maths tutor. Show me a full worked example of substituting a line's
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
Give me practice on tangent lines to curves
Act as my SS2 Further Maths tutor. Give me five practice questions on finding the conditio
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 collecting like terms across two polynomials
You are my SS2 Further Mathematics tutor. Teach me collecting like terms across two polyno
Worked example: adding two polynomials
Act as my SS2 Further Maths tutor. Show me a full worked example of adding two polynomials
Explain polynomial addition back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to add and subtract po
Quiz me on polynomial division by a quadratic divisor
Act as my SS2 Further Maths tutor. Quiz me with four polynomial division by a quadratic di
Give me practice on polynomial long division
Act as my SS2 Further Maths tutor. Give me six practice questions on dividing polynomials
Teach me the stating the remainder theorem
You are my SS2 Further Mathematics tutor. Teach me stating the remainder theorem, in clear
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