Find the remainder when `p(x)=4x^2-2 x^2+14 x-3` is divided by `g(x)=x-1/2`

Explanation

To find the remainder when the polynomial \( p(x) = 4x^3 - 12x^2 + 14x - 3 \) is divided by \( g(x) = x - \frac{1}{2} \), we can use the Remainder Theorem. According to the Remainder Theorem, the remainder of the division of a polynomial \( p(x) \) by \( g(x) = x - c \) is \( p(c) \).

### Step-by-Step Solution:

1. **Identify the value of \( c \)**:
Here, \( g(x) = x - \frac{1}{2} \), so \( c = \frac{1}{2} \).

2. **Substitute \( c \) into the polynomial \( p(x) \)**:
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