If the polynomials `2x^3+a x^2+3x-5` and `x^3+x^2-4x+a` leave the same remainder when divided by `x-2,` find the value of `adot`

Explanation

To find the value of \( a \) such that the polynomials \( 2x^3 + ax^2 + 3x - 5 \) and \( x^3 + x^2 - 4x + a \) leave the same remainder when divided by \( x - 2 \), we will follow these steps:

### Step 1: Define the Polynomials
Let:
- \( f(x) = 2x^3 + ax^2 + 3x - 5 \)
- \( g(x) = x^3 + x^2 - 4x + a \)

### Step 2: Apply the Remainder Theorem
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