Answer:
[tex]2[/tex]
Step-by-step explanation:
I'd say [tex]2[/tex] because when you perform long division on [tex]5x^5 -x^3 +x^2 +1[/tex] divided by [tex]3x^3 +x^2 +1[/tex]. You'll likely divide [tex]5x^5[/tex] by [tex]3x^3[/tex] first and end up having [tex]\frac{5}{3}x^2 \\[/tex] as the term with the highest degree of the quotient.