Q. 25.0( 1 Vote )

If the quotient o

Answer :

Let p(x) = x4 + 10x3 + 35x2 + 50x + 29 be the dividend. Arranging p(x) according to the descending powers of x.


p(x) = x4 + 10x3 + 35x2 + 50x + 29


Divisor, q(x) = x + 4


To find out Zero of the divisor –


q(x) = 0


x + 4 = 0


x = – 4


zero of divisor is – 4.


And, p(x) = x4 + 10x3 + 35x2 + 50x + 29


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



Quotient = x3 + 6x2 + 11x + 6


Hence, when p(x) is divided by (x + 4) the quotient is x3 + 6x2 + 11x + 6 and remainder is 5.


Comparing x3 + 6x2 + 11x + 6 with x3 ax2 + bx + 6 we get,


a = – 6 and b = 11.


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