1,045 prompts matching "Assuming AB and BA give the same matrix"
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Discriminant classification exam question
I am in SS 2. Give me a short structured question where I must use the discriminant to sta
Cambridge-style question: quadratic formula derivation
I am in SS 2. Ask me to derive the quadratic formula from ax^2+bx+c=0 by completing the sq
Teach me solving quadratic inequalities
Teach me how to solve a quadratic inequality like x^2-5x+6>0 using a sketch of the curve a
Quiz me on quadratic inequalities
I am in SS 2. Quiz me with five short quadratic inequality questions of increasing difficu
Spot my mistake in a quadratic inequality solution
I am in SS 2. I will show you my working for solving a quadratic inequality. Check whether
Cambridge-style structured question: line meets a curve
I am in SS 2. Give me a Cambridge Additional Maths structured question where I substitute
Learn: Factorising a quadratic whose coefficient of x squared is one
You are my personal SS2 Further Mathematics tutor. Teach me factorising a quadratic whose
Quiz: Factorising a difference of two squares in order to solve it
Act as my SS2 Further Mathematics tutor and quiz me on factorising a difference of two squ
Spot My Mistake: Solving a quadratic that must be rearranged before factorising
Act as my SS2 Further Mathematics tutor. Work a question on solving a quadratic that must
Show All Working: A quadratic whose two roots are both negative
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a quadratic who
Spot My Mistake: Finding a missing coefficient from a stated product of roots
Act as my SS2 Further Mathematics tutor. Work a question on finding a missing coefficient
Show All Working: Roots equal in magnitude but opposite in sign
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on roots equal in
Spot My Mistake: A pair with equal roots, meaning one solution only
Act as my SS2 Further Mathematics tutor. Work a question on a pair with equal roots, meani
Learn: What makes an expression a polynomial
You are my personal SS2 Further Mathematics tutor. Teach me what makes an expression a pol
Spot My Mistake: A polynomial written in descending powers
Act as my SS2 Further Mathematics tutor. Work a question on a polynomial written in descen
Quiz: Dividing a quartic by a quadratic
Act as my SS2 Further Mathematics tutor and quiz me on dividing a quartic by a quadratic.
Spot My Mistake: A division that leaves a linear remainder
Act as my SS2 Further Mathematics tutor. Work a question on a division that leaves a linea
Spot My Mistake: Finding two coefficients from two remainder conditions
Act as my SS2 Further Mathematics tutor. Work a question on finding two coefficients from
Quiz: Which values are worth testing as factors
Act as my SS2 Further Mathematics tutor and quiz me on which values are worth testing as f
Learn: Factorising a cubic into three linear factors
You are my personal SS2 Further Mathematics tutor. Teach me factorising a cubic into three