Determine which of the following polynomial has x-2 a factor
(i) `3x^(2)+6x-24` (ii) `4x^(2)+x-2`

Explanation

To determine which of the given polynomials has \(x - 2\) as a factor, we can use the Factor Theorem. According to the Factor Theorem, if \(x - c\) is a factor of a polynomial \(P(x)\), then \(P(c) = 0\). In this case, we will check if \(P(2) = 0\) for each polynomial.

### Step-by-Step Solution:

1. **Identify the Polynomials**:
- The first polynomial is \(P_1(x) = 3x^2 + 6x - 24\).
- The second polynomial is \(P_2(x) = 4x^2 + x - 2\).

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