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# Find the remainder when x ^3 + 3x ^2 + 3x + 1 is divided by (iv) x + pi

1.(iv) Find the remainder when $x^3 + 3x^2 +3x + 1$ is divided by

(iv)    $x + \pi$

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When we divide  $x^3 + 3x^2 +3x + 1$  by  $x + \pi$

By long division method, we will get

Therefore, the remainder is  $1-3\pi + 3\pi^2-\pi^3$

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