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Question: find a generator of the ideals in the ring ...

Question details

Find a generator of the ideals <x^2-5x+6> \cap <x^2-3x+2> in the ring \mathbb{Q}[x].

I mostly don't understand if I need to find the least common multiple between the two ideals? In the hints and answers part of my textbook it says the answer is x^3-6x^2+11x-6 , I'm just not sure how to get there.

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