To divide the polynomial (7x^{3} - 22x^{2} + ax - 1) by (x^{2} - 3x + 1), we can use long division or synthetic division.
Using long division:
x^{2}-3x+1 | 7x^{3}-22x^{2}+ax-1
Therefore, the result of the division is (7x - 1).
To divide the polynomial (7x^{3} - 22x^{2} + ax - 1) by (x^{2} - 3x + 1), we can use long division or synthetic division.
Using long division:
7x - 1______________________
x^{2}-3x+1 | 7x^{3}-22x^{2}+ax-1
(7x^{3}-21x^{2}+7x) - x^{2} + ax - 1- (-x^{2} + 3x - 1)
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0
Therefore, the result of the division is (7x - 1).