1,045 prompts matching "Treating the rth term of a binomial expansion as the one carrying the rth power"
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Test me under exam conditions on trigonometric identities and equations
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on tr
Test me under exam conditions on sequences and series
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Test me under exam conditions on differentiation
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Test me under exam conditions on logarithms and indices
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Test me under exam conditions on surds
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Worked example: differentiate y = 3x^4 - 2x^3 + x - 7
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Worked example: differentiate y = (2x-1)(x+3) after expanding it first
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Worked example: find AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Worked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]
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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
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
Quiz me on quadratic inequalities
I am in SS 2. Quiz me with five short quadratic inequality questions of increasing difficu
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
Common Mistakes: Checking a completed square by expanding it again
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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
Show All Working: Forming an equation whose roots are three alpha and three beta
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on forming an equa
Common Mistakes: A word problem giving one linear and one quadratic equation
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Learn: What makes an expression a polynomial
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Show All Working: Adding and subtracting two polynomials
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Learn: Factorising a cubic into three linear factors
You are my personal SS2 Further Mathematics tutor. Teach me factorising a cubic into three