Answer:
[tex]9x^4-11x^3+2x^2+36x-8[/tex]
Explanations:
Given the product of the functions as shown below:
[tex](9x-2)(x^3-x^2+4)[/tex]
Expand the bracket using the distributive law
[tex]9x(x^3)-9x(x^2)+9x(4)-2(x^3)+2(x^2)-2(4)[/tex]
Multiply out and collect the like terms;
[tex]\begin{gathered} 9x^4-9x^3+36x-2x^3+2x^2-8 \\ 9x^4-9x^3-2x^3+2x^2+36x-8 \end{gathered}[/tex]
Take the sum of the like terms;
[tex]9x^4-11x^3+2x^2+36x-8[/tex]
This gives the simplified form of the product
