Plus some one help
I need the answer step by step
Correct answer pls

Answer b seem to be the right answer.

Step-by-step explanation:

x³ + 3x² + 3x + 1

Try to get (x+1) it of the brackets

(x+1) * ( x² + 2x + 1 )

If you multiply you can check that it is accurate:

x³ + 3x² + 3x + 1 = (x+1) * ( x² + 2x + 1 )

if you divide (x+1) * ( x² + 2x + 1 ) by (x+1)

you get 1/(x+1) * (x+1) * ( x² + 2x + 1 )

and that is 1 * ( x² + 2x + 1 )

So x² + 2x + 1 is a parabola, which is the remainder.

See the graph of the remainder in the attachment.

If you substitute x = -1 you find the minimum value of y, which is the Top of the parabola ( -1 , 0).

Answer b seem to be the right answer.

EXTRA

actually x³ + 3x² + 3x + 1 = (x+1)³

therefore (x+1)³ = (x+1)¹ * (x+1)²

So 1/(x+1) * (x+1) * (x+1)²

and that is 1 * (x+1)²

So (x+1)² is a parabola, which is the remainder.

See the graph of the remainder in the attachment.

If you substitute x = -1 you find the minimum value of y, which is the Top of the parabola ( -1 , 0).

Answer b seem to be the right answer.