Write down the degree of following polynomials in x :
`1-x^(2)`

Answer

To find the degree of the polynomial \( 1 - x^2 \), we will follow these steps:

### Step 1: Identify the polynomial
The given polynomial is \( 1 - x^2 \).

### Step 2: Identify the variable
In this polynomial, the variable is \( x \).

### Step 3: Find the terms of the polynomial
The polynomial consists of two terms:
1. The constant term: \( 1 \)
2. The variable term: \( -x^2 \)

### Step 4: Determine the powers of the variable
The power of \( x \) in the term \( -x^2 \) is \( 2 \). The constant term \( 1 \) does not contain the variable \( x \), so it has a power of \( 0 \).

### Step 5: Identify the highest power
The highest power of \( x \) in the polynomial \( 1 - x^2 \) is \( 2 \).

### Step 6: State the degree of the polynomial
Therefore, the degree of the polynomial \( 1 - x^2 \) is \( 2 \).

### Final Answer:
The degree of the polynomial \( 1 - x^2 \) is \( 2 \).

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