1,045 prompts matching "Find the range of x for which y = x^3 - 3x is increasing"
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Quiz me on the whole term's Further Maths topics
Act as my SS2 Further Maths tutor. Quiz me with one question from each major topic I've co
Help me plan my WAEC Further Mathematics exam preparation
Act as my SS2 Further Maths tutor. Help me create a weekly study plan for the next month t
Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Worked example: find a+b where a=(2,-1) and b=(-3,5)
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Worked example: find 2a-3b where a=(4,1) and b=(-2,3)
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Worked example: expand (x+2)^5 fully using the binomial theorem
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Worked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Multi-part exam question on factorising trinomials
I am in SS 2. Give me a three-part exam-style question, (a) (b) (c), where each part asks
Mark scheme walkthrough: factorising a trinomial
I am in SS 2. Walk me through a Cambridge-style mark scheme for factorising a quadratic tr
Timed practice: five quadratic equations by factorisation
I am in SS 2. Give me five quadratic equations of increasing difficulty to solve by factor
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
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
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
Learn: What makes an expression in the roots symmetric
You are my personal SS2 Further Mathematics tutor. Teach me what makes an expression in th
Practice: Polynomial notation such as P of x
Act as my SS2 Further Mathematics tutor. Give me five practice questions on polynomial not
Practice: A division that leaves no remainder
Act as my SS2 Further Mathematics tutor. Give me five practice questions on a division tha
Show All Working: A remainder of nought, and what it means
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a remainder of
Show All Working: What the factor theorem says about the roots
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on what the factor
Learn: Factorising a cubic into three linear factors
You are my personal SS2 Further Mathematics tutor. Teach me factorising a cubic into three
Show All Working: Factorising a polynomial with fractional roots
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on factorising a p