A perfect square trinomial can be represented by a square model with equivalent length and width. Which polynomial can be represented by a perfect square model?

A perfect square trinomial has the form (x + a)² = x² + 2ax + a². In x² − 6x + 9, half of −6 is −3, and (−3)² = 9, so the trinomial equals (x − 3)². Therefore, x² − 6x + 9 can be represented by a square model with equal side lengths.

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