TEST BANK FOR Mathematical Methods for Physics and

Exam (elaborations) TEST BANK FOR Mathematical Methods for Physics and a) Straightforward evaluation of g(x) at integer values of x gives the following table: x −2 −1 01 2 g(x) −9 4 −1 0 31 (b) It is apparent from the table alone that x = 1 is an exact root of g(x) = 0 and so g(x) can be factorised as g(x)=(x−1)h(x)=(x−1)(b2x2 +b1x+b0). Equating the coefficients of x3, x2, x and the constant term gives 4 = b2, b1 − b2 = 3, b0 − b1 = −6 and −b0 = −1, respectively, w...