Question

What must be subtracted from the polynomial x^4 +3x^3+4x^2-3x-6 to obtain a polynomial which is exactly divisible by x^7-x+3 ? ​

Answer 1

Answer:

4x

2

−4x+19

x+5)

4x

3

+16x

2

−x+5

(

4x

3

+20x

2

−4x

2

−x

−4x

2

−20x

19x+5

19x+95

−90

Hence, −90 must be subtracted from 4x

3

+16x

2

−x+5 so that it in exactly divisible by x+5