Find the remainder when `p(y)=y^3+y^2+2y+3` is divided by `y+2.`

Explanation

To find the remainder when the polynomial \( p(y) = y^3 + y^2 + 2y + 3 \) is divided by \( y + 2 \), we can use the Remainder Theorem. The Remainder Theorem states that if a polynomial \( p(y) \) is divided by \( y - a \), the remainder is \( p(a) \).

### Step-by-Step Solution:

1. **Identify the polynomial and the divisor**:
We have \( p(y) = y^3 + y^2 + 2y + 3 \) and we are dividing by \( y + 2 \). We can rewrite \( y + 2 \) as \( y - (-2) \). Thus, \( a = -2 \).

2. **Apply the Remainder Theorem**:
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