Step-by-step explanation:4x^3x^2+12x+6 divided by (2x+1) gives a quotient of (2x^2-6x+9) and a remainder of -3. So you need to add 3 to the dividend to make it 4x^3-10x^2+12x+9.
you have to divide the polynomials and we find the remainder that keeps it from being perfectly divided is -3 so if u add 3 to the original polynomial it allows it to be perfectly divided
