Question

State the degree and leading coefficient of polynomial $7-x$ in one variable. If it is not a polynomial in one variable, explain why.

Short answer

The polynomial has degree $1$and leading coefficient $-1$.

Step-by-step solution

Step 1. Write down the given information.

The given polynomial is $7-x$.

Step 2. Calculation.

Re-arranging the given polynomial in descending order of degree, the polynomial can be written as $-x+7$.

Now, the degree and leading coefficient of the given polynomial $-x+7$are stated as:

The given polynomial is a polynomial in one variable $\left(x\right)$. Therefore, by concept of degree and leading coefficient of a polynomial, the degree of the polynomial is $1$ and leading coefficient is $-1$.

Step 3. Conclusion.

The polynomial has degree $5$ and leading coefficient $-3$.