The polynomial `p(x)=x^(4)-2x^(3)-ax+3a-7` when divided by x+1 leaves remainder 19. Also, find the remainder when p(x) is divided by x+2.

Explanation

To solve the problem, we need to follow these steps:

### Step 1: Use the Remainder Theorem
According to the Remainder Theorem, if a polynomial \( p(x) \) is divided by \( x - c \), the remainder is \( p(c) \). In this case, we are dividing by \( x + 1 \), which means we will evaluate \( p(-1) \).

### Step 2: Substitute \( x = -1 \) into \( p(x) \)
The polynomial is given as:
\[
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