Answer:
To divide (x² + 3x² - x + 4) by (x - 1), we can use long division:
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C
4x + 5
____________
x - 1| x² + 3x² - x + 4
-4x² + 4x
___________
7x + 4
Therefore, the result of the division is:
(x² + 3x² - x + 4) ÷ (x - 1) = 4x + 5 + (7x + 4)/(x - 1)
Since there is a remainder of (7x + 4)/(x - 1), we can express the result in the form q(x) + r(x)/b(x) as:
(x² + 3x² - x + 4) ÷ (x - 1) = 4x + 5 + (7x + 4)/(x - 1) = 4x + 5 + (7x + 4) ÷ (x - 1)