What is the quotient?
7x – 10 – 19/x-1
7x + 4 – 5/x-1
7x – 10 + 1/x-1
7x + 4 – 13/x-1

Answer:
B) [tex]7x + 4 -\frac{5}{x-1}[/tex]
Step-by-step explanation:
Here we have to divide 7x^2 - 3x - 9 by (x - 1).
Step 1: We need to get rid of 7x^2 that is the leading coefficient.
We need to add 7x in the quotient part and multiply with (x -1 )
7x(x - 1) = 7x^2 - 7x
Now we have to subtract.
Step 2: We got dividend is 4x - 9
Now we have to get rid off 4x, so we have to add +4 in the quotient part and multiply with (x -1)
4(x -1) = 4x - 4
Now we have to subtract
So we got the quotient = 7x + 4 and the remainder is -5
The answer is = 7x +4 - [tex]\frac{5}{x-1}[/tex]
Herewith I have attached the division figure.