Question

x+1 ,Find the remainder when x³+3x²+3x+1 is divided by the given Linear polynomial.

Answer 1

remainder will be 0

Answer 2

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If p(x) is divided by ( x - a ) then

the remainder is p(a).

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If ( x + 1 ) divided by x³+3x²+3x+1

then the remainder is p(-1).

p(-1) = ( -1)³ + 3(-1)²+3(-1)+1

= -1 + 3 - 3 + 1

= -4 + 4

= 0

Therefore ,

Remainder = 0

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