Question

what should be subtracted from 2x3-5x2+8x-5 so that the resulting polynomial is exactly divisible by 2x2-3x+5​

Answer 1

Answer:

To get the polynomial that is exactly divisible by g(x)=3x+2, we have to divide f(x)=3x

4

−2x

3

+3x

2

−2x+3 by g(x) and get the remainder as shown in the above image.

Hence,

27

185

should be subtracted from 3x p

4

−2x

3

+3x

2

−2x+3 so that the resulting polynomial is exactly divisible by 3x+2.