1,045 prompts matching "Rationalising a denominator of the form a plus root b using the conjugate"
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Use the quadratic formula on x^2 - 2x - 2 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 - 2x - 2 = 0 usin
Use the quadratic formula on 4x^2 - 4x - 3 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve 4x^2 - 4x - 3 = 0 usi
Use the quadratic formula on x^2 + x - 1 = 0
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Give me practice with the quadratic formula
Act as my SS2 Further Maths tutor. Give me ten practice quadratic equations to solve using
Explain sum and product of roots back to me
Act as my SS2 Further Maths tutor. I'll explain the sum and product of roots formulas back
Teach me the binomial expansion formula
Act as my SS2 Further Maths tutor. Teach me the general binomial expansion formula using c
Worked example: rationalising a binomial surd denominator
Act as my SS2 Further Maths tutor. Show me a complete worked example of rationalising the
Teach me changing the base of a logarithm
Act as my SS2 Further Maths tutor. Teach me the change of base formula for logarithms and
Give me memory tricks for Further Maths formulas
Act as my SS2 Further Maths tutor. Give me memory tricks or mnemonics to help me remember
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
Give me practice on sum and product of roots
Act as my SS2 Further Maths tutor. Give me eight practice questions on finding the sum and
Spot my mistake with sum and product of roots
Act as my SS2 Further Maths tutor. I calculated the sum and product of the roots of 2x^2-5
WAEC question on sum and product of roots
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Worked example: using the factor theorem to factorise a cubic
Act as my SS2 Further Maths tutor. Show me a full worked example of using the factor theor
Sum and product of roots of a cubic equation
Act as my SS2 Further Maths tutor. Teach me how to find the sum and product of the roots o
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 the distance and midpoint formulas
Act as my SS2 Further Maths tutor. Teach me how to find the distance between two points an
Give me practice on the equation of a circle
Act as my SS2 Further Maths tutor. Give me six practice questions on finding or using the
Worked example: finding the gradient of a curve at a point
Act as my SS2 Further Maths tutor. Show me a full worked example of differentiating a poly
Teach me finding the magnitude of a vector
Act as my SS2 Further Maths tutor. Teach me how to find the magnitude of a vector using Py