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Coordinate Geometry

Question
CBSEENMA9001744

Find the remainder when x3 + 3x2 + 3x + 1 is divided by

x + straight pi

Solution

x + straight pi
x + straight pi = 0 ⇒ x = - straight pi
∴ Remainder = (- straight pi)3 + 3(- straight pi)2 + 3(- straight pi) + 1
= - straight pi3 + 3straight pi2 - 3straight pi + 1.