Q6. - Algebra 2

Question

Determine whether the expression $\frac{m{w}^2-3}{n{z}^3+1}$  is a polynomial. If it is a polynomial state the degree of the polynomial.

Step-by-Step Solution

Answer

The expression$\frac{m{w}^2-3}{n{z}^3+1}$ is not a polynomial.

Step 1. Write down the given information.

The given expression is$\frac{m{w}^2-3}{n{z}^3+1}$  .

Step 2. Calculation.

The given expression is $\frac{m{w}^2-3}{n{z}^3+1}$  which being a expression in four variables $m,n,w\text{ and }z$$m,n,w\text{ and }z$ .

Since the expression $\frac{m{w}^2-3}{n{z}^3+1}$  involves the division operation in it and is also in fraction. Therefore, by concept of polynomial, the given expression $\frac{m{w}^2-3}{n{z}^3+1}$  is not a polynomial.

Step 3. Conclusion.

The expression  $\frac{m{w}^2-3}{n{z}^3+1}$ is not a polynomial.