using factor theorm factorize the following `x^3−6x^2+3x+10`

Explanation

To factor the polynomial \( x^3 - 6x^2 + 3x + 10 \) using the factor theorem, follow these steps:

### Step 1: Identify potential rational roots
Using the Rational Root Theorem, we can test possible rational roots. The potential rational roots are the factors of the constant term (10) divided by the factors of the leading coefficient (1). The possible rational roots are:
\[ \pm 1, \pm 2, \pm 5, \pm 10 \]

...