Question

If the quotient on dividing x² +10x³+35x²+50x+29 by (x +4) is x³ -ax²+bx+6.then find the value of a,b and also remainder​

Answer 1

Answer:

Therefore, from the division, we get that the quotient is (x3+6x2+11x+6) and the remainder is 5.

But it is also given that the quotient is (x3−ax2+bx+6), thus on comparing the coefficients of both the quotients (x3+6x2+11x+6) and (x3−ax2+bx+6), we get

−ax2=6x2

⇒−a=6

⇒a=−6

Also, 

bx=11x

⇒b=11

Hence, a= -6, b= 11 & the remainder is 5.

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