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Use the factor theorem to show that (x+2) is a factor of g(x)= 4x^3 - 12x^2 - 15x + 50

To prove (x+2) is a factor, the value of x that makes x+2 equal 0 must be substituted into the function g(x) also making g(x)=0. In this case, the value of x being -2 makes x+2 equal to 0 and when substitute...
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Answered by James R. • Maths tutor
10941 Views

Find the area bounded be the curve with the equation y = x^2, the line x = 1, the line x = -1, and the x-axis.

The answer is 2/3. This can either be obtained by performing a standard integration of y=x^2, using the power rule, between x = 1 and x = -1. Alternatively, integrate y = x^2 between x = 0 and x = 1, then do...
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Answered by Isaac A. • Maths tutor
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How do you sketch the curve y=(x^2 - 4)(x+3), marking on turning points and values at which it crosses the x axis

First, factorise the equation into y = (x+3)(x-2)(x+2), nothing that x 2 -4 is the difference of two squares so is easy to factorise. From the factorised equation, the points at which the curve crosses the x...
Answered by • Maths tutor
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Compare how authors present the idea that men typically dominate relationships. (The Great Gatsby: F. Scott Fitzgerald - A song (Absent from Thee): John Wilmot - La Bella Dame sans Merci (John Keats)

It does seem, from the relationship between that of Tom and Myrtle, that men are the dominant characters within the relationship. After all, it is clear that Tom uses Myrtle purely as a tool to boost his ego...
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Answered by Isabella E. • English tutor
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'No more evasion'. Discuss the ways Shakespeare addresses the issue of evasion in Measure for Measure.

Perhaps the most conspicuous example of such circumvention in Measure for Measure is the Duke's attempt to avoid his responsibilities as a leader. Despite the order for 'No more evasion' originating from Vin...
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Answered by Eirian W. • English tutor
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