Question

Ivan began dividing g2 – 6 by g + 1, noting that . He started by placing g in the quotient, as shown below.



What is g2 – 6 divided by g + 1?

g – 1 –
g + 1 –
g – 7 +
g – 5 +

Answer 1

Divide: g*(g+1)=g^2+g. Subtract: (g^2−6)−(g^2+g)=−g−6. Next term −1: −1*(g+1)=−g−1. Subtract: (−g−6)−(−g−1)=−5.

Quotient g−1 with remainder −5, so (g^2−6)/(g+1)=g−1−5/(g+1).