Answer:
C and E
Step-by-step explanation:
Given
[tex]Polynomial: 6x^4 + 4x^3 - 7x^2 + 5x + 8.[/tex]
Required
Select all equivalent polynomial
Scanning through the given options;
[tex]A:\ 16x^{10}[/tex]
This is not equivalent because the degree of the polynomial begins from 10.
[tex]B: 6x^5+ 4x^4 - 7x^3 +5x^2+ 8x[/tex]
This is not equivalent because the degree of the polynomial begins from 5.
[tex]C: 6x^4+ 4x^3 - 7x^2 + 5x + 8[/tex]
Compare this to the given polynomial; They are equivalent
[tex]Polynomial: 6x^4 + 4x^3 - 7x^2 + 5x + 8.[/tex]
[tex]D: 8 + 5x + 7x^2 - 4x^3+ 6x^4[/tex]
Reorder
[tex]D:\ 6x^4- 4x^3+ 7x^2+ 5x +8[/tex]
Compare this to the given polynomial; They are not equivalent because of the difference in sign in front of [tex]7x^2[/tex]
[tex]E:\ 8 + 5x - 7x\² + 4x^3+ 6x^4[/tex]
Reorder
[tex]Polynomial: 6x^4 + 4x^3 - 7x^2 + 5x + 8.[/tex]
Compare this to the given polynomial; They are equivalent
[tex]Polynomial: 6x^4 + 4x^3 - 7x^2 + 5x + 8.[/tex]
Hence:
Option C and E answers the question
