TEST BANK FOR Mathematical methods for physics and engineering 3rd Edition By Riley, Kenneth Franklin_ Hobson, Michael Paul Converted

It can be shown that the polynomial g(x) = 4x3 + 3x2 − 6x − 1 has turning points at x = −1 and x = 1 2 and three real roots altogether. Continue an investigation of its properties as follows. (a) Make a table of values of g(x) for integer values of x between −2 and 2. Use it and the information given above to draw a graph and so determine the roots of g(x) = 0 as accurately as possible. (b) Find one accurate root of g(x) = 0 by inspection and hence determine precise values for t...