Question

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

x+1​

Answer 1

Answer:

x = -1

p(-1) = -1 +3 -3 +1

p(-1) = 0

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Answer 2

Answer:

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

(i) x + 1

Dividing x3 + 3x2 + 3x + 1 by x + 1 U

Dividend

Divisor

Step 1:

Put

Divisor = 0

X + 1 = 0

X = -1

Step 2:

Let p(x) = x3 + 3x2 + 3x + 1

Putting x=-1

p(-1) = (-1)3 + 3(-1)2 + 3(-1) + 1= -1 + 3-3 + 1

= 0

Thus, remainder = p(-1) = 0

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