Question

. Find the remainder when x3+ x2 + x + 1 is divided by x – 12 using
remainder theorem.

Answer 1

Answer:

Now using reminder theorem,

D=d×Q+r

= (x ^3+x ^2 +x+1)=(x ^2 + 2/3 x+ 4/7 )(x− 2/1 )+ 8/15

Hence, this is the answer.

Answer 2

1885

According to remainder theorem if you divide a polynomial f(x) by (x-a) then remaider will be same as f(a)

Therefore, f(12)=12³+12²+12+1=1748+144+12+1=1885