Q. ​Find the remainder when polynomial p(x) = x 3 + 3 x 2 + 3x + 1 is divided by x +1. 

Dear Student,

7. We have: px = x3 + 3x2 + 3x + 1By remainder theorem, when px is divided by x - a, the remainder is equal to pa.Now, x + 1 = x - -1So, remainder when px is divided by x - -1 is p-1. p-1 = -13 + 3-12 + 3-1 + 1= -1 + 3 - 3 + 1= 0

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