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Yes.

2x3 - 11x2 + 12x + 9

= (x - 3)(2x2 - 5x - 3)

= (x - 3)(2x2 - 6x + x - 3)

= (x - 3)(2x + 1)(x - 3)

= (2x + 1)(x - 3)2

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Q: Is x-3 a factor of 2x3-11x2 plus 12x plus 9?
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