MCQ
When polynomial $x^2 + 3x^2 + 3x + 1$ is divided by $x + 1,$ the remainder is:
  • $0$
  • B
    $-6$
  • C
    $1$
  • D
    $8$

Answer

Correct option: A.
$0$

$p(-1) = (-1)^3 + 3(-1)^2 + 3(-1) + 1$
$= -1 + 3 × 1 - 3 + 1$
$= -1 + 3 - 3 + 1$
$= 0$

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