Divide using long division and then check your answer. (x^3 + 3x^2 + x + 3) divided by (x - 1).

The quotient is ? with a remainder of ?

1 answer

To divide (x^3 + 3x^2 + x + 3) by (x - 1), we will use long division:

x^2 + 4x + 5
___________________
x - 1 | x^3 + 3x^2 + x + 3
- (x^3 - x^2)
_______________
4x^2 + x
- (4x^2 - 4x)
_______________
5x + 3
- (5x - 5)
_______________
8

Therefore, the quotient is x^2 + 4x + 5 with a remainder of 8.