Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial :`x^3-3x+1,x^5-4x^3+x^2+3x+1`

Explanation

To check whether the first polynomial \( P(x) = x^3 - 3x + 1 \) is a factor of the second polynomial \( Q(x) = x^5 - 4x^3 + x^2 + 3x + 1 \), we will perform polynomial long division.

### Step-by-Step Solution:

1. **Set up the division**: We will divide \( Q(x) \) by \( P(x) \).
\[ \text{Divide } x^5 \text{ by } x^3 \text{ to get } x^2. \]
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