Chapter 5: Q2. (page 231)

Identify the degree of the polynomial $2 x^{3} - x^{2} + 3 x^{4} - 7$ .

Short Answer

Expert verified

The expression $2 x^{3} - x^{2} + 3 x^{4} - 7$ is a polynomial of degree 4.

Step by step solution

Step 1. Write down the given information.

The given expression is $2 x^{3} - x^{2} + 3 x^{4} - 7$ .

Step 2. Calculation.

The given polynomial is re-written as: $3 x^{4} + 2 x^{3} - x^{2} - 7$ which being a polynomial in one variable x and it has four unlike terms. Therefore, by concept of polynomial, the given expression $2 x^{3} - x^{2} + 3 x^{4} - 7$ is a polynomial and it has degree 4 because of higher power to which the variable is raised.

Step 3. Conclusion.

The polynomial $2 x^{3} - x^{2} + 3 x^{4} - 7$ is a polynomial of degree 4 .

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Identify the degree of the polynomial $2 x^{3} - x^{2} + 3 x^{4} - 7$ .

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Calculation.

Step 3. Conclusion.

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Identify the degree of the polynomial 2x3−x2+3x4−7.

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

Recommended explanations on Math Textbooks

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Theoretical and Mathematical Physics

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Logic and Functions

Study anywhere. Anytime. Across all devices.

Identify the degree of the polynomial $2 x^{3} - x^{2} + 3 x^{4} - 7$ .