Your answer should be in the form p(x)+\dfrac{k}{x-1}p(x)+ x−1
k

p, left parenthesis, x, right parenthesis, plus, start fraction, k, divided by, x, minus, 1, end fraction where p is a polynomial and k is an integer.
\dfrac{x^2+2}{x-1}=
x−1
x
2
+2

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?