Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,111 prompts matching "Factorising a quadratic whose leading coefficient is not one"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Structured question: fully factorise x^3 + 4x^2 - 11x - 30
I am in SS 3. Give me the cubic x^3 + 4x^2 - 11x - 30 as a structured factorisation questi
Subscribe to unlock allShow that command word: a function is its own inverse
I am in SS 3. Set me a 'show that' function question where I must show a given function is
Subscribe to unlock allRationalise 7/(sqrt5 - 2) fully
I am in SS 3. Give me the surd expression 7/(sqrt5 - 2) as a Cambridge-style rationalising
Subscribe to unlock allStructured question: perpendicular bisector of (2,1) and (-4,7)
I am in SS 3. Give me a structured question using the points (2,1) and (-4,7): find the mi
Subscribe to unlock allFind the range of x for which y = x^3 - 3x is increasing
I am in SS 3. Give me the curve y = x^3 - 3x as a structured question asking for the range
Subscribe to unlock allGive me a past-paper style question bank for the quadratic formula
I am in SS 3. Give me a bank of four exam-style questions on using the quadratic formula,
Subscribe to unlock allGive me a past-paper style question bank for quadratic inequalities
I am in SS 3. Give me a bank of four exam-style questions on solving quadratic inequalitie
Subscribe to unlock allGive me a past-paper style question bank for linear-quadratic simultaneous equations
I am in SS 3. Give me a bank of four exam-style questions on linear-quadratic simultaneous
Subscribe to unlock allSpot my mistake: dividing a polynomial by long division
I am in SS 3. I will show you my full long division working for dividing a polynomial by a
Subscribe to unlock allWorked example: find where the tangent to y = x^3 crosses the x-axis
I am in SS 3. Show me a full worked example finding the equation of the tangent to y=x^3 a
Subscribe to unlock allStructured question: logarithmic equation reducing to a quadratic
I am in SS 3. Set me a structured logarithmic equation question where substituting y=log(x
Subscribe to unlock allStructured question: trig equation with a coefficient inside the angle
I am in SS 3. Give me a structured trigonometric equation question where the angle inside
Subscribe to unlock allStructured question: binomial expansion coefficient equation
I am in SS 3. Set me a structured binomial theorem question where I am told two coefficien
Subscribe to unlock allStructured question: two quadratics sharing a common root
I am in SS 3. Give me a structured question where two quadratic equations are given and I
Subscribe to unlock allWAEC exam question: polynomial division real-world framing
I am in SS 3. Give me a WAEC-style Further Maths question that frames polynomial long divi
Subscribe to unlock allWAEC Prep: Raising a 2 by 2 matrix to the third power
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through raising a 2 by 2 m
Subscribe to unlock allSpot My Mistake: Squaring a 2 by 2 matrix
Act as my SS3 Further Mathematics tutor. Work a question on squaring a 2 by 2 matrix with
Subscribe to unlock allSpot My Mistake: Multiplying a 3 by 3 matrix by a 3 by 1 column
Act as my SS3 Further Mathematics tutor. Work a question on multiplying a 3 by 3 matrix by
Subscribe to unlock allQuiz: Multiplying a matrix by minus one
Act as my SS3 Further Mathematics tutor and quiz me on multiplying a matrix by minus one.
Subscribe to unlock allSpot My Mistake: A symmetric matrix, equal to its own transpose
Act as my SS3 Further Mathematics tutor. Work a question on a symmetric matrix, equal to i
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