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Given f(x): 2x^4 + ax^3 - 6x^2 + 10x - 84, and knowing 3 is a root of f(x), which is the value of a?

For this exercise we need to be aware of the factor theorem.The factor theorem states when f(c) = 0 then x - c is a factor of the polynomial f(x) and c is a root of f(x). Because we are told that one of the ...
SR
Answered by Sabela R. • Maths tutor
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Compare the views of Sources A and B about commemoration and remembrance.

Sources A and B both agree to a broad extent about the agreement on the site of the Scottish National War memorial and it should be in the capital city, Edinburgh. Secondly, Sources A and B also agree on how...
MC
Answered by Megan C. • History tutor
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Find a quarter of the area of a circle with a diameter of 10cm.

To find a part of the area we need the whole area first. Find the formula for the area of a circle: A= pi x r 2 We have been given the diameter so we need to work out what the radius is, half of the diameter...
JS
Answered by Joseph S. • Maths tutor
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A sigma0 particle with mass 1193 MeV/c^2 decays into a lambda0 particle with mass 1116 MeV/c^2 a photon. Find the energy and momentum of the photon, assuming that the kinetic energy of the lambda0 particle is negligible.

This is a standard A-level particle physics question. To solve it, we need to use three equations given in the formula sheet of the paper. To find the energy of the photon, we use Einsteins famous energy-mas...
PF
Answered by Peter F. • Physics tutor
2818 Views

What are the different types of hazards associated with volcanic eruptions?

The hazards can be categorized into two different types: Primary and Secondary. Of the primary hazards, there are 4 main ones that pose a threat to life and property: lava flows, pyroclastic flows, tephra fa...
SK
Answered by Simeon K. • Geography tutor
13044 Views