Q. 1 D5.0( 1 Vote )

Find the quotient

Answer :

Let p(x) = 3x3 4x2 5 be the dividend. Arranging p(x) according to the descending powers of x and insert zero for missing term.


p(x) = 3x3 4x2 + 0x – 5


Divisor, q(x) = 3x + 1


To find out Zero of the divisor –


q(x) = 0


3x + 1 = 0


x =


zero of divisor is .


And, p(x) = 3x3 4x2 + 0x – 5


Put zero for the first entry in the 2nd row.



p(x) = (Quotient)×q(x) + remainder.


So, 3x3 4x2 5 = (x + )(3x2 – 5x + ) + ()


= (3x + 1)(3x2 – 5x + )


Thus, the Quotient = (3x2 – 5x + )= (x2 x + ) and remainder is .


Hence, when p(x) is divided by (3x + 1) the quotient is (x2 x + ) and remainder is .


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