Question

What should be added to the polynomial x4+2x3-4x2+6x-3 so that its exactly divisible by x2-x+1

dont ignore and please answer
thanks

Answer 1

On dividing x4 + 2x 3 – 4x 2 + 6x – 3 by x 2 – x + 1


Middle Answer See In Picture


We get remainder = x – 1

Hence x – 1 should be subtracted from x 4 + 2x 3 – 4x 2 + 6x – 3 to exactly divide it by x 2 – x + 1

Answer 2

Follow all the steps that the guy above has sent except the last part he put -3 + 2 as + 1 which is wrong. The answer you will get is x-1. Also -(x - 1) will be added to p(x).