check whether p(x) is a multiple of g(x) or not
(i) `p(x) =x^(3)-5x^(2)+4x-3,g(x) =x-2.`
(ii) ` p(x) =2x^(3)-11x^(2)-4x+5,g(x)=2x+1`

Explanation

To determine whether \( p(x) \) is a multiple of \( g(x) \), we need to evaluate \( p(x) \) at the root of \( g(x) \). If \( p(x) \) equals zero at that point, then \( p(x) \) is a multiple of \( g(x) \).

Let's solve the problem step by step for both parts.

### Part (i)

Given:
- \( p(x) = x^3 - 5x^2 + 4x - 3 \)
...