Question

if ( 5x²+14x+2)²-(4x²-5x+7)² is divided by x²+x+1 then what is quotient and remainder.
( It was asked in AMU entrance exam and it shows me answer q=9(x²+19x-5) r =0 but I found its answer q=x²+19x-5) r=0..then who is right, me or answer book.​

Answer 1

Step-by-step explanation:

Given expression =9(x

2

+x+1)(x

2

+19x−5).

∴ when this is divided by x

2

+x+1, the remainder is zero.

Answer 2

Answer:

( 5x²+14x+2)²-(4x²-5x+7)²=x^2+9x+9

when we divide, x^2+9x+9 / x^2+x+1

quotient=1 , remainder=8x+8

hope it helps...!!!