Respuesta :

The function p(x) = –5x – x² is the quadratic function.

The correct option is (C)

What is Quadratic equation?

A quadratic equation in the variable x is an equation of the form ax² + bx + c= 0, where a, b, c are real numbers, a≠0

As, the quadratic equation have the highest degree 2.

first,

c(x) = 6x + 3x³

Here, we have 3x³, which is of third degree.

second,

d(x) = x – 8[tex]x^{4}[/tex]

Here, we have 8[tex]x^{4}[/tex], which is of four degree.

Third,

p(x) = –5x – x²

Here, we have, which is of two degree.

Lastly,

k(x) = 2x² + 9[tex]x^{4}[/tex]

Here, we have 9[tex]x^{4}[/tex], which is of four degree.

Thus, by observing above only  p(x) = –5x – x² have highest degrees 2.

Hence,  p(x) = –5x – x² is the quadratic function.

Learn more about quadratic equation here:

https://brainly.com/question/1962219

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