Answer: We will use long division to find the quotient of (x³ - 3x² + 5x + 3) ÷ (x + 1).
x² - 4x + 9
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x + 1 | x³ - 3x² + 5x + 3
- (x³ + x²)
--------------
-4x² + 5x
-(-4x² - 4x)
------------
9x + 3
-(9x + 9)
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6
Therefore, the quotient of (x³ - 3x² + 5x + 3) ÷ (x + 1) is x² - 4x + 9 with a remainder of 6.
Explanation: