Question

divide the polynomial x cube +3x square +3x+1 by 5+2x
​

Answer 1

Answer:

Dividing x

3

+3x

2

+3x+1 by 5+2x

So, x

3

+3x

2

+3x+1 is dividend and 5+2x is divisor.

Put, 5+2x=0

∴ x=

2

−5

Let p(x)=x

3

+3x

2

+3x+1

Putting x=

2

−5

p(

2

−5

)=(

2

−5

)

3

+3(

2

−5

)

2

+3(

2

−5

)+1

=

8

−125

+

4

75

−

2

15

+1

=

8

−125+150−60+8

=

8

−27

Thus, reminder of p(

2

−5

)=

8

−27

.

∴ We will get reminder as

8

−27

when x

3

+3x

2

+3x+1 is divided by 5+2x.