Question

What must be subtracted from x power 4 + 3 x cube +4 x square - 3 x minus 6 to get 3 x cube + 4 x square minus x + 3

Answer 1

Answer:

Divide 2x4−4x3+4x2−4x+32x4−4x3+4x2−4x+3 by x2+x+1x2+x+1.

Subtract the remainder from 2x4−4x3+4x2−4x+32x4−4x3+4x2−4x+3.

Now the resulting polynomial will be exactly divisible by x2+x+1x2+x+1.

Subtract −(6x+5)−(6x+5)

2x4−4x3+4x2−4x+3−(−(6x+5))2x4−4x3+4x2−4x+3−(−(6x+5))

=2x4−4x3+4x2+2x+8=2x4−4x3+4x2+2x+8

Now

2x4−4x3+4x2+2x+8x2+x+