3,169 prompts in this subject
Prove command word: line does not intersect a curve
I am in SS 2. Give me a 'prove that' style question where I must show a given line never m
Structured question: classify a line-curve relationship
I am in SS 2. Give me three short parts, each with a different line and the same curve, as
Structured question: add and simplify two polynomials
I am in SS 2. Set me a structured Additional Maths question where I must add two given pol
Show that command word: polynomial identity
I am in SS 2. Give me a 'show that' polynomial question where I must expand and simplify b
Non-calculator paper: subtract polynomials and state the degree
Set me a non-calculator question where I subtract one polynomial from another, simplify, a
Structured question: divide a cubic and state quotient and remainder
Give me a structured question where I divide a cubic polynomial by a linear factor using l
Express in the form command word: polynomial division
Set me a question phrased 'express f(x) in the form (x-a)Q(x)+R', where I perform polynomi
Cambridge-style layout check: polynomial long division
I will show you my full long division layout for dividing a polynomial by a linear express
Structured question: find an unknown coefficient using the remainder theorem
Give me a structured Additional Maths question where a polynomial has an unknown coefficie
Show that command word: using the remainder to find an unknown coefficient
You are my SS3 Further Mathematics tutor. Teach me using the remainder to find an unknown
WAEC exam question: remainder theorem with two conditions
I am in SS 3. Give me a WAEC-style Further Maths question where a polynomial has two unkno
Prove command word: factor theorem
Give me a 'prove that (x-a) is a factor' question using the factor theorem, where I must s
Structured question: fully factorise a cubic using the factor theorem
Set me a structured question where I use the factor theorem to find one factor of a cubic,
Find all values command word: the values of k for which x minus 2 is a factor
Give me an exam question phrased 'find all values of k for which (x-2) is a factor', using
Structured question: solve a cubic equation fully
Give me a structured question where I factorise a cubic using the factor theorem and then
Hence solve command word: cubic equations
Set me a 'hence solve' cubic equation question where I must use a factorisation I am given
Sum and product of roots of a cubic exam question
Give me a Cambridge-style question asking for the sum or product of the roots of a cubic e
Teach me composite functions
Teach me what a composite function fg(x) means and how to find it, using function notation
Structured question: find fg(x) and gf(x)
Give me a structured question with two given functions f and g, asking me to find fg(x) an
Teach me inverse functions
Teach me how to find the inverse of a function f(x), including how to state its domain cor