Using factor theorem, factorize the polynomial
`x^4-2x^3-13 x^2+14 x+24`

Explanation

To factor the polynomial \( f(x) = x^4 - 2x^3 - 13x^2 + 14x + 24 \) using the factor theorem, we will follow these steps:

### Step 1: Identify the polynomial
Let \( f(x) = x^4 - 2x^3 - 13x^2 + 14x + 24 \).

### Step 2: Use the Factor Theorem
The factor theorem states that if \( x - a \) is a factor of \( f(x) \), then \( f(a) = 0 \). We will test some rational roots to find factors.

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