Find the coefficient of `x^0` in `x^2+3x+2=0`.

Options

A. 3
B. -3
C. 2
D. -2

Answer

To find the coefficient of \( x^0 \) in the equation \( x^2 + 3x + 2 = 0 \), we can follow these steps:

### Step 1: Identify the constant term
In the polynomial \( x^2 + 3x + 2 \), the constant term is the term that does not contain \( x \).

### Step 2: Locate the constant term
The constant term in the expression \( x^2 + 3x + 2 \) is \( 2 \).

### Step 3: Understand the coefficient of \( x^0 \)
The term \( x^0 \) is equal to \( 1 \). Therefore, the coefficient of \( x^0 \) in any polynomial is simply the constant term of that polynomial.

### Step 4: Conclusion
Thus, the coefficient of \( x^0 \) in the equation \( x^2 + 3x + 2 = 0 \) is \( 2 \).

### Final Answer
The coefficient of \( x^0 \) is \( 2 \).

---