Answer:
- x = 1 is not a root
- p(x) = (x -1)(x^2 -2x +0) -1
Step-by-step explanation:
a) p(1) = 1³ -3·1² +2·1 -1 = 1 -3 +2 -1 = -1 . . . . not zero
b) Dividing p(x) by x-1 gives x² -2x +0 with a remainder of -1 (as found in part (a)). So the function can be written as ...
... p(x) = (x -1)(x² -2x +0) -1
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Polynomial division can be done using synthetic division or long division. The latter can be done by hand or by using any of several on-line calculators. Attached is output from one of them.
