Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ 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]

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.