Chapter 5: Q5. (page 231)

Determine whether the expression $\frac{1}{3} x^{3} - 9 y$ is a polynomial. If it is a polynomial state the degree of the polynomial.

Short Answer

Expert verified

The expression $\frac{1}{3} x^{3} - 9 y$ is a polynomial of degree3 .

Step by step solution

Step 1. Write down the given information.

The given expression is $\frac{1}{3} x^{3} - 9 y$ .

Step 2. Calculation.

The given expression $\frac{1}{3} x^{3} - 9 y$ is a polynomial in two variables $x and y$ and it has two unlike terms. It is also called binomial because of two variables. Therefore, by concept of polynomial, the given expression $\frac{1}{3} x^{3} - 9 y$ is a polynomial and it has degree 3 because of higher power to which the variable is raised.

Step 3. Conclusion.

The expression $\frac{1}{3} x^{3} - 9 y$ is a polynomial of degree 3 .

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Determine whether the expression $\frac{1}{3} x^{3} - 9 y$ is a polynomial. If it is a polynomial state the degree of the polynomial.

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Calculation.

Step 3. Conclusion.

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Determine whether the expression 13x3−9yis a polynomial. If it is a polynomial state the degree of the polynomial.

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

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Determine whether the expression $\frac{1}{3} x^{3} - 9 y$ is a polynomial. If it is a polynomial state the degree of the polynomial.