Chapter 7: Q19. (page 350)

State the degree and leading coefficient of polynomial $6 x^{4} + 3 x^{2} + 4 x - 8$ in one variable. If it is not a polynomial in one variable, explain why.

Short Answer

Expert verified

The polynomial has degree $4$ and leading coefficient $6$ .

Step by step solution

Step 1. Write down the given information.

The given polynomial is $6 x^{4} + 3 x^{2} + 4 x - 8$ .

Step 2. Calculation.

The given polynomial $6 x^{4} + 3 x^{2} + 4 x - 8$ is in decreasing order of degree.

Therefore, the degree and leading coefficient of the polynomial $6 x^{4} + 3 x^{2} + 4 x - 8$ are stated as:

The polynomial $6 x^{4} + 3 x^{2} + 4 x - 8$ is a polynomial in one variable $(x)$ . Therefore, by concept of degree and leading coefficient of a polynomial, the degree of the polynomial is 4 and leading coefficient is 6.

Step 3. Conclusion.

The polynomial has degree 4 and leading coefficient 6.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

State the degree and leading coefficient of polynomial $6 x^{4} + 3 x^{2} + 4 x - 8$ in one variable. If it is not a polynomial in one variable, explain why.

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

Theoretical and Mathematical Physics

Pure Maths

Logic and Functions

Discrete Mathematics

Statistics

Geometry

Study anywhere. Anytime. Across all devices.

State the degree and leading coefficient of polynomial 6x4+3x2+4x-8 in one variable. If it is not a polynomial in one variable, explain why.

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

Theoretical and Mathematical Physics

Pure Maths

Logic and Functions

Discrete Mathematics

Statistics

Geometry

Study anywhere. Anytime. Across all devices.

State the degree and leading coefficient of polynomial $6 x^{4} + 3 x^{2} + 4 x - 8$ in one variable. If it is not a polynomial in one variable, explain why.