The degree of the polynomial is 4. Therefore, option C is correct.
The given polynomial is [tex]P(x)=x^{3} +2x-5x^{4}[/tex]
We need to find the order of the polynomial.
What is the order of a polynomial?
A polynomial in standard form is written in descending order of the power. The highest power should be first, and the lowest power should be last. The order of polynomials decreases from four to two, to one, to zero.
The highest power of the term of a polynomial is the degree of the polynomial.
Here, the polynomial [tex]P(x)=-5x^{4}+x^{3} +2x[/tex] has the highest power 4.
Therefore the degree of the polynomial is 4.
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