Question

5. When a polynomial x + 3x + 3 is divided by (x + 2) find the remainder
​

Answer 1

Step-by-step explanation:

Given, p(x)=x

3

+3x

2

+3x+1.

We find remainder using, x−

2

1

=0⟹x=

2

1

.

Then,

P(

2

1

)=(

2

1

)

3

+3(

2

1

)

2

+3(

2

1

)+1

=

8

1

+

4

3

+

2

3

+1

=

8

1+6+12+8

=

8

27

.

Therefore, the required remainder =

8

27

.