Question

if the quotient obtained
in diving 3x³+ 11x²+ 34x+106 by ( x-3) is 3x² + ax² +b then find a,b and also the remainder
​

Answer 1

Answer:

x

4

+10x

3

+35x

2

+50x+29=(x

4

+10x

3

+25x

2

+50x+24)+5

Given : (x+4) is one of the factor of x

4

+10x

3

+35x

2

+50x+24

And by using Synthetic Division we get another factor as (x

3

+6x

3

+11x+6) and the remainder 5

∴ a=−6, b=11 and the remainder is 5.