Answer:
[tex]6x^2 - 6x + 5[/tex]
Step-by-step explanation:
Given
List of Options
Required
Which of the options has a degree of 2
The general format of a polynomial is
[tex]ax^n + bx^{n-1} + ..... + cx^{n-n}[/tex]
Where n represents the degree
In this case;
n = 2
Substitute 2 for n in expression above;
[tex]ax^n + bx^{n-1} + ..... + cx^{n-n}[/tex]
[tex]ax^2 + bx^{2-1} + ..... + cx^{2-2}[/tex]
[tex]ax^2 + bx^{1} + ..... + cx^{0}[/tex]
[tex]ax^2 + bx + c *1[/tex]
[tex]ax^2 + bx + c[/tex]
Comparing this format to the list of given options; the option with the same format is: [tex]6x^2 - 6x + 5[/tex]
Where [tex]a = 6[/tex]; [tex]b = -6[/tex] and [tex]c = 5[/tex]
Hence, the polynomial with a degree of 2 is [tex]6x^2 - 6x + 5[/tex]
