Question 320109
Use polynomial long division.
First factor:{{{t}}}
{{{t(t-4)=t^2-4t}}} 
Subtract this product from the original polynomial to get the remainder,
{{{(t^2-13)-(t^2-4t)=4t-13}}}
Next factor:{{{4}}}
{{{4(t-4)=4t-16}}}
Subtract this product from the remainder to get the new remainder,
{{{(4t-13)-(4t-16)=3}}}
No further division is possible.
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{{{(t^2-13)/(t-4)=(t+4)+3/(t-4)}}}