Solution:
A polynomial’s degree is the highest or the greatest power of a variable in a polynomial equation. The degree indicates the highest exponential power in the polynomial (ignoring the coefficients).
The polynomial is given below as
[tex]f(x)=2x^3-3x^4+5x-2[/tex]
Rewrite the polynomial above, we will have
[tex]\begin{gathered} f(x)=2x^3-3x^4+5x-2 \\ f((x)=-3x^4+2x^3+5x-2 \end{gathered}[/tex]
From the polynomial,
The leading term is
[tex]-3x^4[/tex]
The image below shows a vivid explanation of the degree of a polynomial
Hence,
The degree of the polynomial is
[tex]=4[/tex]
Hence,
The final answer is OPTION C
