passpadi

2007

Mathematics

67ca00ce0c643c71d77dee1f

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: y = x3 + 2x2 - x - 2

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

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
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