`f(x)=x^3+4x^2-3x+10 ,\ g(x)=x+4`

Explanation

To find the remainder when the polynomial \( f(x) = x^3 + 4x^2 - 3x + 10 \) is divided by \( g(x) = x + 4 \), we can use the Remainder Theorem. The Remainder Theorem states that the remainder of the division of a polynomial \( f(x) \) by \( x - a \) is equal to \( f(a) \).

### Step-by-Step Solution:

1. **Identify the divisor**:
We have \( g(x) = x + 4 \). We can rewrite this as \( g(x) = x - (-4) \). Here, \( a = -4 \).

2. **Apply the Remainder Theorem**:
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