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
