Question

How does one work , 2x^2+x+3 divided by x-1

Answer 1

synthetic division or long division
synthetic is easiest

Answer 2

copy down the coefficients of \(x^2+x+3\)
1 1 3

Answer 3

then since you are dividing by \(x-1\) put a \(1\) on the side

1 1 3
1___________

Answer 4

oops coefficients are 2, 1, 3 sorry
2 1 3
1___________

Answer 5

bring down the 2
2 1 3
1___________
2

Answer 6

1 times 2 is 2
2 1 3
1______2_____
2

Answer 7

add and get
1 times 2 is 2
2 1 3
1______2_____
2 3

Answer 8

1 times 3 is 3

2 1 3
1______2__3___
2 3

Answer 9

add and get 6
2 1 3
1______2__3___
2 3 6

Answer 10

answer from the bottom row is \[2x+3+\frac{6}{x-1}\]

Answer 11

thanks so much!