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(2x^3-5x^2+4x-4)/(x-2)

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5 votes

Answer:

2x2 - x + 2 Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2". 1 more similar replacement(s).

Explanation:

2x3 - 5x2 + 4x - 4

Simplify ——————————————————

x - 2

Checking for a perfect cube :

3.1 2x3 - 5x2 + 4x - 4 is not a perfect cube

Trying to factor by pulling out :

3.2 Factoring: 2x3 - 5x2 + 4x - 4

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: 4x - 4

Group 2: 2x3 - 5x2

Pull out from each group separately :

Group 1: (x - 1) • (4)

Group 2: (2x - 5) • (x2

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