Question

13 points Please answer quick.

Divide (x^5 - x^4 + x^3 - x^2 + x -1) by (x-1)
show your calculation
If you don't know don't answer.
If you do it I will report the answer.​

Answer 1

`\boxed{x^4 + x^2 + x}`

Explanation:

`(x^5 - x^4 + x^3 -x^2 + x - 1)/(x - 1)`

`= ((x - 1)(x^4 + x^2 + x))/(x - 1)`

`= x^4 + x^2 + x`

.

Happy to help :)

Answer 2

`x^(4)` + x² + 1

Explanation:

One way is to divide using Synthetic division

1 | 1 - 1 1 - 1 1 - 1

↓ 1 0 1 0 1

--------------------------------------

1 0 1 0 1 0 ← remainder

Since remainder is 0 then (x - 1) is a factor of the polynomial

The quotient is of degree 1 less than the dividend, that is

quotient =
`x^(4)` + x² + 1