1,044 prompts matching "A polynomial leaving the same remainder for two different divisors"
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Word problem leading to a factorable quadratic
I am in SS 2. Set me an Additional Maths style word problem, such as one about area or con
Find alpha squared plus beta squared using sum and product
I am in SS 2. Give me an Additional Maths style question where I know alpha+beta and alpha
Structured question: new equation with roots 1/alpha and 1/beta
I am in SS 2. Set me a multi-part question where I first find the sum and product of the r
WAEC exam question: symmetric functions of roots
I am in SS 2. Give me a WAEC-style Further Maths question asking for alpha^3+beta^3 or (al
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
Structured question: find coordinates of intersection points
I am in SS 2. Give me a multi-part question where I solve a linear-quadratic system and th
Find k command word: line tangent to a curve
I am in SS 2. Set me an Additional Maths exam question phrased 'find the value of k for wh
Common command word mistakes SS2 students make
Tell me the most common mistakes SS2 Further Maths students make when responding to comman
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
Worked Example: Factorising a quadratic whose leading coefficient is not one
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on factor
Practice: Factorising a quadratic with a common factor taken out first
Act as my SS2 Further Mathematics tutor. Give me five practice questions on factorising a
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
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
Quiz: Dividing a quartic by a quadratic
Act as my SS2 Further Mathematics tutor and quiz me on dividing a quartic by a quadratic.
Worked Example: Testing a list of candidates to find a factor
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on testin
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
Worked Example: Factorising a cubic into a linear and a quadratic factor
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on factor
Learn: Solving a cubic once it has been factorised
You are my personal SS2 Further Mathematics tutor. Teach me solving a cubic once it has be