Answer:
To find the quotient of (x³ + x² + 3x - 4) ÷ (x² + 2x + 1), we can use polynomial long division.
The long division would look like this:
x³ + x² + 3x - 4
x² + 2x + 1
x² + x - 4
________
2x - 4
______
0
So, the final answer is:
x³ + x² + 3x - 4 = (x² + x - 4) * (x² + 2x + 1) + 0
Therefore, the result of (x³ + x² + 3x - 4) ÷ (x² + 2x + 1) is x² + x - 4.
Explanation: