1,045 prompts matching "Find the range of x for which y = x^3 - 3x is increasing"
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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
Form a quadratic from a given sum and product
Set me a structured question: given the sum and product of the roots of a quadratic equati
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
Common command word mistakes SS2 students make
Tell me the most common mistakes SS2 Further Maths students make when responding to comman
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
Final Revision: A word problem solved by factorising a quadratic
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a
Practice: Working through a quadratic by completing the square, step by step
Act as my SS2 Further Mathematics tutor. Give me five practice questions on working throug
Common Mistakes: Checking a completed square by expanding it again
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on che
Practice: Giving the roots correct to two decimal places
Act as my SS2 Further Mathematics tutor. Give me five practice questions on giving the roo
Practice: Forming an equation from a given sum and product
Act as my SS2 Further Mathematics tutor. Give me five practice questions on forming an equ
WAEC Prep: Forming an equation whose roots are alpha plus one and beta plus one
Act as my SS 2 Further Mathematics teacher setting an examination question. Give me a ques
Common Mistakes: A word problem giving one linear and one quadratic equation
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on a w
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
Practice: The remainder on dividing by 2x minus 1
Act as my SS2 Further Mathematics tutor. Give me five practice questions on the remainder
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
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
Quiz: Factorising a polynomial by grouping terms
Act as my SS2 Further Mathematics tutor and quiz me on factorising a polynomial by groupin
Common Mistakes: Factorising fully, and knowing when to stop
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on fac
Final Revision: Checking a factorisation by expanding it again
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of c