The function p(x) = –5x – x² is the quadratic function.
The correct option is (C)
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 x², 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.
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