Let p (x) be a polynomial with real coefficient and `p (x)=x^(2)+2x+1.` Find P (1).

Answer

To solve the problem, we need to evaluate the polynomial \( p(x) = x^2 + 2x + 1 \) at \( x = 1 \).

### Step-by-Step Solution:

1. **Write down the polynomial**:
\[ p(x) = x^2 + 2x + 1 \]

2. **Substitute \( x = 1 \) into the polynomial**:
\[ p(1) = (1)^2 + 2(1) + 1 \]

3. **Calculate \( (1)^2 \)**:
\[ (1)^2 = 1 \]

4. **Calculate \( 2(1) \)**:
\[ 2(1) = 2 \]

5. **Add the results together**:
\[ p(1) = 1 + 2 + 1 \]

6. **Final calculation**:
\[ p(1) = 4 \]

### Final Answer:
Thus, the value of \( p(1) \) is \( 4 \).

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