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The polynomial p(x) is given by p(x)=x^3 - 5x^2 - 8x + 48. Given (x+3) is a factor of p(x), express p(x) as a product of 3 linear factors.

This answer is easiest explained using the whiteboard in the interview. The question is basically asking for algebraic long division, we know (x+3) is a factor and are tasked with finding the other 2. We can...
RM
Answered by Richard M. • Maths tutor
4618 Views

Construct 3 phrases using the subjunctive (present and imperfect).

Me gustaría mucho si tuvieras más clases conmigo.Quiero que mis amigos vengan a la playa este fin de semana.Habría más árboles en el planeta si hubiera menos deforestación.
AP
Answered by Adam P. • Spanish tutor
2335 Views

Find the equation of the tangent to the curve y = (5x+4)/(3x -8) at the point (2, -7)

(Much easier to explain in conversation and with drawings): But, An application of the quotient rule, stating that for f(x)=a(x)/b(x), f'(x) = a'(x)b(x) - a(x)b'(x) all over [b(x))]^2 Here, a(x) = 5x + 4 and...
BR
Answered by Ben R. • Maths tutor
6138 Views

"Where would a contemporary ancient Athenian audience's sympathies lie in Sophocles' Antigone: with Creon, Antigone, or both?"

Before tackling such a question, we should consider the context in which Sophocles was writing, and in which his play is set. Typically in fifth-century Athens, a mention of Thebes would be met with hostilit...
CP
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"In Tacitus, individuals are seldom virtuous without flaws or flawed without virtues, and the flaws are normally closely related to the virtues." Discuss.

What we first recognise about Tacitus and his characters is that, in spite of his notorious claim “consilium mihi pauca […] tradere […] sina ira et studio”, “my aim is to relate a few accounts without anger ...
CP
Answered by Chester P. • Latin tutor
2529 Views