College

We appreciate your visit to Choose the answer that displays a 6th degree polynomial with a constant of 7 1 tex 6x 4 3x 2 5x 7 tex 2 tex. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Choose the answer that displays a 6th degree polynomial with a constant of 7.

1.) [tex]6x^4 + 3x^2 + 5x + 7[/tex]

2.) [tex]x^6 + 3x^2 + 5x + 7[/tex]

3.) [tex]6x^6 + 3x^2 + 5x - 7[/tex]

4.) [tex]x^6 + 3x^2 + 5x - 7[/tex]

Answer :

To determine which option is a 6th degree polynomial with a constant of 7, let's consider each option step by step:

1. Option 1: [tex]\(6x^4 + 3x^2 + 5x + 7\)[/tex]
- Degree: The highest exponent of [tex]\(x\)[/tex] is 4.
- Constant term: The constant term is 7.
- Conclusion: This is a 4th degree polynomial, not a 6th degree.

2. Option 2: [tex]\(x^6 + 3x^2 + 5x + 7\)[/tex]
- Degree: The highest exponent of [tex]\(x\)[/tex] is 6.
- Constant term: The constant term is 7.
- Conclusion: This is a 6th degree polynomial with a constant of 7.

3. Option 3: [tex]\(6x^6 + 3x^2 + 5x - 7\)[/tex]
- Degree: The highest exponent of [tex]\(x\)[/tex] is 6.
- Constant term: The constant term is -7, not 7.
- Conclusion: While this is a 6th degree polynomial, the constant is not 7.

4. Option 4: [tex]\(x^6 + 3x^2 + 5x - 7\)[/tex]
- Degree: The highest exponent of [tex]\(x\)[/tex] is 6.
- Constant term: The constant term is -7, not 7.
- Conclusion: This is a 6th degree polynomial, but the constant is not 7.

Based on our evaluation, Option 2 is the polynomial that is a 6th degree polynomial with a constant of 7.

Thanks for taking the time to read Choose the answer that displays a 6th degree polynomial with a constant of 7 1 tex 6x 4 3x 2 5x 7 tex 2 tex. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada