Answer:
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.
