Respuesta :

Answer:

Remainder = 3

Step-by-step explanation:

Given

[tex]P = x^3 + x^2 - 2x + 1[/tex]

[tex]D =x + 1[/tex]

Required

Determine the remainder

[tex]D =x + 1[/tex]

Equate to 0

[tex]x + 1 = 0[/tex]

[tex]x = -1[/tex]

Substitute -1 for x in [tex]P = x^3 + x^2 - 2x + 1[/tex]

[tex]P = (-1)^3 + (-1)^2 - 2(-1) + 1[/tex]

[tex]P = -1 + 1 + 2 + 1[/tex]

[tex]P = 3[/tex]

Hence, the remainder is 3