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The cubic polynomial f(x) is defined by f(x) = 2x^3 -7x^2 + 2x + 3. Given that (x-3) is a factor of f(x), express f(x) in factorised form.

f(x) = (x-3)(2x^2 - x - 1)f(x) = (x-3)(2x +1)(x-1)x = 3, -1/2, 1 are roots of the cubic equation.

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What is the definition of a H-Bond?

A H-bond is an attraction between molecules. It is therefore an intermolecular force, and in fact one of the strongest. Molecules which exhibit H-bonding must contain a hydrogen that is directly bo...

Answered by Oliver M. • Chemistry tutor

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How does a cyclotron work?

A cyclotron is constructed of two hollow, D-shaped electrodes that accelerate particles; they are opposite each other and there is a small gap between them. A magnetic field is used to bend the particle t...

Answered by Edward M. • Physics tutor

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To what extent was there economic instability in Germany from 1923-1928? (25 marks)

The Treaty of Versailles (1919) created a difficult and fragile legacy for Germany, with 1923-1928 being a period of intense economic turmoil. Germany experienced significant economic instabilit...

Answered by Eleanor R. • History tutor

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what is the use of 'los-' as a prefix?

attached to most verbs, the 'los-' prefix simply implies starting to do something. For example: 'sie fahren' = 'they are driving', and 'sie fahren los' = 'they are setting of (by car)'. Generally speaking...

Answered by • German tutor

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