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Take the polynomial p(x)=x^4+x^3+2x^2+4x-8, use the factor theorem to write p(x) as two linear factors and an irreducible quadratic. An irreducible quadratic is a quadratic that can not be factorised.

We must use the factor theorem since that is what the question asks. So we take p(x) and think about the factors of 8 we then evaluate it at x=1 to start, then move onto x=-1,2,-2 and so on. We see that i...

JC
Answered by Jordan C. Maths tutor
4257 Views

How would the integral ∫x^2sin2xdx be solved using integration by parts?

The general formula for integration by parts is given as
∫u(dv/dx)dx = uv - ∫v(du/dx)dx
given that the equation to be solved is ∫x2sin2xdx, the values for u, v, du/dx and dv/dx can ...

SN
Answered by Samuel N. Maths tutor
10822 Views

Discuss Alvin's liability for criminal offences in relation to Bela and to Claire.

With regards to Bela, Alvin could potentially be liable for assault occasioning actual bodily harm, contrary to S47 Offences Against the Person Act 1861.

Alvin committed the actus reus of this offe...

GB
Answered by George B. Law tutor
4277 Views

Write a critical analysis of the law on murder and voluntary manslaughter. Discuss any reforms that may be desirable.

Proposals for the reform of the law on murder and voluntary manslaughter have been put forward by the Law Commission in their "Murder, Manslaughter and Infanticide Report 2011", calling the law ...

GB
Answered by George B. Law tutor
6277 Views

What language features may we expect to find in a Barbie doll TV Advertisement? What contextual factors may influence the language used?

The genre of this text is a TV advertisement, so is therefore likely to have the primary function of persuading the audience to purchase a Barbie, and a secondary function to entertain the a...

EG
4317 Views

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