Mathematics

The graph above is represented by

The graph above is represented by
  • A.
    y = x3 – 3x – 2
  • B.
    y = x3 + 2x2 – x – 2
  • C.
    y = x3 – 4x2 + 5x – 2
  • D.
    y = x3 – 4x + 2
Correct Answer: Option B
Explanation

x = -2, x = -1 and x = 1
then the factors; x+2, x+1 and x-1
Product of the factors; (x+2)(x+1)(x-1)
= y = (x + 2)(x2 – x + x – 1)
= y = (x+2)(x2-1)
x3 – x + 2x2 – 2 = y
x3 + 2x2 – x – 2 = y