Question

Find the remainder when x3

+ 3x2

+3x +1 is divided by-

8. x+3​

Answer 1

Step-by-step explanation:

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 + 475 − 215 +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 +3×2 +3x+1 is divided by 5+2x.