The graph above is represented by
- A.
y = x^{3} – 3x – 2 - B.
y = x^{3} + 2x^{2} – x – 2 - C.
y = x^{3} – 4x^{2} + 5x – 2 - D.
y = x^{3} – 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)(x^{2} – x + x – 1)
= y = (x+2)(x^{2}-1)
x^{3} – x + 2x^{2} – 2 = y
x^{3} + 2x^{2} – x – 2 = y