Q. 1 E5.0( 2 Votes )

Find the quotient the and remainder of the following division.

(−18 – 9x + 7x2) ÷ (x – 2)

Answer :

(−18 – 9x + 7x2) ÷ (x – 2)


We see that the equation is not arranged in descending order, so we need first arrange it in descending order of the power of x.


Therefore it becomes,


(7x2 – 9x – 18) ÷ (x – 2)


Now we need to divide (7x2 – 9x – 18) by (x – 2).


Now we need to find out by how much should we multiple “x” to get a value as much as 7x2.


To get x2, we need to multiply x×x.


Therefore, we need to multiply with 7x × (x – 2) and we get (7x2 – 14x) now subtract (7x2 – 14x) from 7x2 – 9x – 18 so we get 5x.


Now we carry 18 along with 5x, as shown below


So, in same way we have keep dividing till we get rid of x as shown below.



here (x – 2) × 5


= 5x – 10


Therefore, we got the quotient = 7x + 5 and


Remainder = – 8


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