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Find the first three terms in the binomial expansion of (8-9x)^(2/3) in ascending powers of x

Rewrite (8-9x)^(2/3) as (8(1-(9/8)x)^(2/3)=4(1-(9/8)x)^(2/3). Now apply the C4 binomial formula in the formula booklet, so: 4(1 - ((9/8)x)^(2/3)= 4[ 1 + (2/3)*((-9/8)x) + (2/3)((-9/8)x)^2 .....]= 4[ 1 - (3/4...
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Answered by Anthony R. • Maths tutor
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IB exam question: Let p(x)=2x^5+x^4–26x^3–13x^2+72x+36, x∈R. For the polynomial equation p (x) = 0 , state (i) the sum of the roots; (ii) the product of the roots.

p(x) = 2x 5 + x 4 – 26x 3 – 13x 2 + 72x + 36 i) obtain the sum by using vieta's fomula: for p(x) the sum is hence -b/a hence, sum = -1/2 ii) obtain the product by using the fomula -f/a. This is because the p...
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Answered by Niccolo M. • Maths tutor
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To what extent did Siegfried Sassoon influence Wilfred Owen's role as a war poet?

Siegfried Sassoon, a contemporary of Wilfred Owen, was one of his associates whilst Owen recovered in Craiglockhart, and is often seen as a figure of worship to Owen, and perhaps even an object of his affect...
AG
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“Stalin and Truman were equally responsible for the outbreak of the Cold War”. To what extent do you agree?

Extended Intro/ overview of argument : The relative roles of Stalin and Truman were both influential in contributing to the politically turbulent circumstances of 1945-49 in the origins of the Cold war. The ...
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Answered by Nilesh R. • History tutor
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Who do you consider to be the better hero in The Iliad, Achilles or Hektor?

Both men act both heroically and unheriocally throughout The Iliad. However, given the ancient Greek assessment of heroism - pursuit of kleos, skill in battle, and dedication to the family, amongst others - ...
AT
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