Given:
[tex]\begin{gathered} p(t)=2t+17t^3-8t^5 \\ q(t)=9t^4+31 \end{gathered}[/tex]
Find: the leading term for p(t) and q(t)
Explanation:
[tex]p(t)=-8t^5+17t^3+2t[/tex]
leading degree in p(t) is 5 and leading term in p(t) is -8.
[tex]q(t)=9t^4+31[/tex]
leading degree in q(t) is 4 and leading term in q(t) is 9.
[tex]\begin{gathered} R(t)=\frac{p(t)}{q(t)} \\ =\frac{-8}{9} \end{gathered}[/tex]
Final answer: the required answer is
[tex]\frac{-8}{9}[/tex]
