TEST BANK FOR Mathematical Methods for Physics and
Maastricht University (UM)
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Exam (elaborations) TEST BANK FOR Mathematical Methods for Physics and
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---539februari 20222021/2022A+
- 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...
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