What is the factor of x³ - 3x² + 4x - 4?

A (x - 2)(x2 - x + 2)

B (x - 2)(x2 + X - 2)

C (x - 2)(2x - x + 4)

D (x- 2)(x + 2x + 4)

Solution

Correct Answer: Option A

x³ - 3x² + 4x - 4
=x³-2x²-x²+2x+2x-4
=x²(x-2)-x(x-2)+2(x-2)
=(x-2)(x²-x+2)

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