Question

Find the remainder when

3 + 3
^2 + 3 + 1 is divided by 5 + 2​

Answer 1

3 + 3² + 3 + 1 = 16

5 + 2 = 7

7) 16 ( 2

. 14

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. 2

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Hence, 2 is the reminder.

Answer 2

Step-by-step explanation:

[tex]Dividing x3+3x2+3x+1 by 5+2x

So, x3+3x2+3x+1 is dividend and 5+2x is divisor.

Put, 5+2x=0

∴  x=2−5

Let p(x)=x3+3x2+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 x3+3x2+3x+1 is divided by 5+2x.