: Divide 3x3++2x +5 by 1 +2x+

1.	: Divide 3x3++2x +5 by 1 +2x+
Answer» P(X) = 3X³ + X² + 2X + 5 G(X) = 1 + 2X + X² = X² + 2X +1 On dividing P(X) by G(X) we get, X² + 2X +1 ) 3X³ + X² + 2X + 5 ( 3X -5 -----------------3X³ + 6X² + 3X ********____ -____-_____-______ ----------------0 - 5X² - X +5 ----------------- -5X² - 10X - 5 _________+___+____+__________ -----------------0 ----- 9X +10 Remainder = 9X +10 And, Quotient = 3X -5 HOPE IT WILL HELP YOU..... :-) please like the solution 👍 ✔️

Answer»

P(X) = 3X³ + X² + 2X + 5

G(X) = 1 + 2X + X² = X² + 2X +1

On dividing P(X) by G(X) we get,

X² + 2X +1 ) 3X³ + X² + 2X + 5 ( 3X -5

-----------------3X³ + 6X² + 3X

********____ -____-_____-______

----------------0 - 5X² - X +5

----------------- -5X² - 10X - 5

_________+___+____+__________

-----------------0 ----- 9X +10

Remainder = 9X +10

And,

Quotient = 3X -5

HOPE IT WILL HELP YOU..... :-)

please like the solution 👍 ✔️

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