x squared minus 4 is divided by x minus 1 using the long division method. The first expression of divisibility, left parenthesis x squared minus x right parenthesis, is subtracted from the dividend. The remainder is x minus 4. The quotient is x.

Question

The image shows the first few steps of the polynomial division (x2−4)÷(x−1)
. Complete the polynomial division process,

Answer 1

To complete the polynomial division process, we need to continue dividing the remaining term x - 4 by x - 1.

The next step is to bring down the next term, which is -4:
```
_____________________
x - 1 | x^2 - 4
- (x^2 - x)
______________
- x + 4
```

Now we divide - x + 4 by x - 1:
```
_____________________
x - 1 | x^2 - 4
- (x^2 - x)
______________
- x + 4
- (-x + 1)
______________
3
```

The remainder is 3.

Therefore, the completed polynomial division is:
```
Quotient: x
Remainder: 3
```

So the final result is x + 3.