using factor theorm factorize the following `x^3+6x^2+11x+6`

Explanation

To factor the polynomial \( x^3 + 6x^2 + 11x + 6 \) using the Factor Theorem, we follow these steps:

### Step 1: Identify potential rational roots
We will test some rational roots using the Factor Theorem. The possible rational roots are the factors of the constant term (6) divided by the factors of the leading coefficient (1). The factors of 6 are \( \pm 1, \pm 2, \pm 3, \pm 6 \).

### Step 2: Test \( x = -1 \)
Let's test \( x = -1 \):
\[
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