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if (5x^2 + 14x + 2)^2 - (4x^2 - 5x + 7)...

if `(5x^2 + 14x + 2)^2 - (4x^2 - 5x + 7)^2` is divided by `x^2 + x + 1`, then quotient q and remainder r are given by

A

`q = (x ^(2) + 19 x - 5) , r =1`

B

`q = 9 ( x ^(2) + 19 x -5) , r =0`

C

`q = ( x ^(2) + 19 x - 5) , r =0`

D

` q= 9 (x ^(2) + 19 x - 5) , r =1`

Text Solution

Verified by Experts

The correct Answer is:
C
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