As given by the question
There are given that the polynomial function:
[tex]f(x)=2x^2+3x^3+x+4[/tex]
Now,
From the equation, first, rearrange the function:
[tex]\begin{gathered} f(x)=2x^2+3x^3+x+4 \\ f(x)=3x^3+2x^2+x+4 \end{gathered}[/tex]
Hence, the leading coefficient of the given polynomial function is 3.
