1,038 prompts matching "Structured question: find f^-1(x) and verify it"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
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
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
Build a quadratic equation from given roots
Act as my SS2 Further Maths tutor. Teach me how to construct a quadratic equation when I a
Quiz me on checking both pairs of solutions of a linear-quadratic pair
Act as my SS2 Further Maths tutor. Quiz me with three pairs of simultaneous equations, eac
Give me practice on simultaneous equations
Act as my SS2 Further Maths tutor. Give me six practice problems on simultaneous equations
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
Teach me what a polynomial is
Act as my SS2 Further Maths tutor. Teach me the definition of a polynomial, including term
Give me practice on polynomial long division
Act as my SS2 Further Maths tutor. Give me six practice questions on dividing polynomials
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
Give me practice on the remainder theorem
Act as my SS2 Further Maths tutor. Give me eight practice questions on applying the remain
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
Teach me how to solve cubic equations
Act as my SS2 Further Maths tutor. Teach me how to solve a cubic equation by first using t
Quiz me on solving cubic equations
Act as my SS2 Further Maths tutor. Quiz me with three cubic equations to solve completely,
Give me practice solving cubic equations
Act as my SS2 Further Maths tutor. Give me six practice cubic equations to solve completel
Teach me compound statement symbols
Act as my SS2 Further Maths tutor. Teach me the standard symbols used for compound stateme
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