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Let p(x) = x 3 + 3x 2 + 3x + 1 x + 1 x + 1 = 0 ⇒ x = - 1 ∴ Remainder = p(- 1) = (- 1) 3 + 3(- 1) 2 + 3(- 1) + 1 = - 1 + 3 - 3 + 1 = 0.

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Let p(x) = x³ + 3x² + 3x + 1
x + 1
x + 1 = 0 ⇒ x = - 1
∴ Remainder
= p(- 1) = (- 1)³ + 3(- 1)² + 3(- 1) + 1
= - 1 + 3 - 3 + 1 = 0.

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