1,045 prompts matching "Rationalising a denominator of the form a plus root b using the conjugate"
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Worked example: an AP with first term 5 and common difference 3, find the 20th term and the sum of the first 20 terms
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Worked example: a GP with first term 4 and common ratio 2, find the 8th term and the sum of the first 8 terms
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Worked example: find the equation of the line through (2,3) and (5,9)
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Worked example: find the midpoint of the segment joining (-3,5) and (7,-1)
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Worked example: find the equation of a circle with centre (2,-1) and radius 4
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Worked example: find the centre and radius of the circle x^2+y^2-4x+6y-3=0
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Worked example: find the magnitude of the vector (3,4)
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Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product
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Worked example: find the unit vector in the direction of (6,8)
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Worked example: how many distinct arrangements are there of the letters in the word MISSISSIPPI
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Worked example: expand (x+2)^5 fully using the binomial theorem
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Real-life application of sum and product of roots
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where sum an
Give me a 5-minute recap of completing the square
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Give me a 5-minute recap of the remainder theorem
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Give me a 5-minute recap of the factor theorem
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Give me a 5-minute recap of the binomial theorem
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Express in the form command word: completing the square
Set me a Cambridge Additional Maths question phrased 'Express x^2 + bx + c in the form (x+
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
Common Mistakes: Writing down the roots once the brackets are found
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Learn: Deriving the quadratic formula by completing the square
You are my personal SS2 Further Mathematics tutor. Teach me deriving the quadratic formula