Question

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

Answer 1

Heya here is ur answer

the remainder is 1.....

Answer 2

The remainder when x³ + 3x² + 3x + 1 is divided by x is 1

Given :

x³ + 3x² + 3x + 1 is divided by x

To find :

The remainder

Solution :

Step 1 of 3 :

Write down the given polynomials

Here it is given that x³ + 3x² + 3x + 1 is divided by x

Let ,

P(x) = x³ + 3x² + 3x + 1

g(x) = x

Step 2 of 3 :

Find zero of g(x)

For zero of g(x) we have

g(x) = 0

⇒ x = 0

So zero of g(x) is 0

Step 3 of 3 :

Find the remainder

By Remainder Theorem the required Remainder when P(x) is g(x) is

$\sf = P(0)$

$\sf = {(0)}^{ 3} + 3 \times {(0)}^{2} + (3 \times 0) + 1$

$\sf = 0 + 0 + 0 + 1$

$\sf = 1$

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