60 prompts matching "Evaluating a fractional-negative index expression"
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Solve x^2 - 7x + 12 = 0 by factorisation
Act as my SS2 Further Maths tutor. Show me step by step how to solve the quadratic equatio
Solve 2x^2 + 7x + 3 = 0 by factorisation
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Solve x^2 - 3x - 10 = 0 by factorisation
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Solve 3x^2 - 5x - 2 = 0 by factorisation
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Solve x^2 - 6x + 9 = 0 by factorisation
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Solve 2x^2 - 11x + 5 = 0 by factorisation
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Solve x^2 + x - 12 = 0 by factorisation
Act as my SS2 Further Maths tutor. Show me step by step how to solve the quadratic equatio
Why does completing the square work
Act as my SS2 Further Maths tutor. Explain to me why the completing the square method work
Worked example: subtracting two polynomials
Act as my SS2 Further Maths tutor. Show me a full worked example of subtracting one polyno
Give me practice with predicate logic
Act as my SS2 Further Maths tutor. Give me five practice problems that require translating
Worked example: finding the middle term of a binomial expansion
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the middle ter
Quiz me on the binomial expansion of a bracket raised to the power four
Act as my SS2 Further Maths tutor. Quiz me with four binomial expressions and ask me to ex
Spot my mistake in a binomial expansion
Act as my SS2 Further Maths tutor. I expanded a binomial expression but I think I used the
Teach me how to simplify surds
Act as my SS2 Further Maths tutor. Teach me how to simplify surds, including how to add, s
Quiz me on simplifying surds
Act as my SS2 Further Maths tutor. Quiz me with five surd expressions to simplify, and che
Quiz me on the laws of logarithms used to solve an equation
Act as my SS2 Further Maths tutor. Quiz me with five expressions that I must simplify usin
Teach me what a complex number is
Act as my SS2 Further Maths tutor. Teach me what a complex number is, including the meanin
Hence solve command word: quadratic equations
I am in SS 2. Explain what 'hence solve' means in an exam question, using an example where
Spot the examiner's trick in a factorisation question
I am in SS 2. Give me a quadratic equation exam question that has a common trap, such as a
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