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Divide (a^2-2-5a+2a^3) by (3+2a).
Ans: a^2-a-1 ; R=1.
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Given (a² - 2 - 5a + 2a³)÷ (3 + 2a)
2a+3 ) 2a³+a²-5a-2 (a²-a-1
******** 2a³ +3a²
_______________
************** -2a² - 5a
************** -2a² - 3a
_________________
********************* - 2a - 2
********************* -2a - 3
____________________
********"****************** ( 1 )
Therefore ,
Quotient = a² - a - 1 ,
Remainder = R = 1
••••
2a+3 ) 2a³+a²-5a-2 (a²-a-1
******** 2a³ +3a²
_______________
************** -2a² - 5a
************** -2a² - 3a
_________________
********************* - 2a - 2
********************* -2a - 3
____________________
********"****************** ( 1 )
Therefore ,
Quotient = a² - a - 1 ,
Remainder = R = 1
••••
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