Question

Find the remainder when the polynomial x3+x2-2x+1 is divided by(x+1)

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Answer 1

Remainder = 3

Explanation:

Given

`P = x^3 + x^2 - 2x + 1`

`D =x + 1`

Required

Determine the remainder

`D =x + 1`

Equate to 0

`x + 1 = 0`

`x = -1`

Substitute -1 for x in
`P = x^3 + x^2 - 2x + 1`

`P = (-1)^3 + (-1)^2 - 2(-1) + 1`

`P = -1 + 1 + 2 + 1`

`P = 3`

Hence, the remainder is 3