Answer:
[tex]p(x)=-5x-x^2[/tex]
C is correct
Step-by-step explanation:
Quadratic function: A polynomial whose degree is 2 called quadratic function.
Degree = It is highest power of the polynomial.
We have to check the degree of each option.
Option 1: [tex]c(x)=6x+3x^3[/tex]
Degree = 3
Option 2: [tex]d(x)=x-8x^4[/tex]
Degree = 4
Option 3: [tex]p(x)=-5x-x^2[/tex]
Degree = 2
Option 4: [tex]k(x)=2x^2+9x^4[/tex]
Hence, [tex]p(x)=-5x-x^2[/tex] has degree 2. It would be quadratic function.
