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Question
Use the trinomial 
4x^(2)-12 x+9 to complete the following sentence

This is the only question in this section.\newlineQuestion\newlineUse the trinomial 4x212x+9 4 x^{2}-12 x+9 to complete the following sentence

Full solution

Q. This is the only question in this section.\newlineQuestion\newlineUse the trinomial 4x212x+9 4 x^{2}-12 x+9 to complete the following sentence
  1. Factor Trinomial: First, let's look at the trinomial 4x212x+94x^2 - 12x + 9. We need to factor it, which means we're looking for two binomials that multiply together to give us this trinomial.
  2. Identify Perfect Square: The trinomial is a perfect square because the first term, 4x24x^2, is a square of 2x2x, and the last term, 99, is a square of 33. The middle term, 12x-12x, is twice the product of 2x2x and 33, which means we can write the trinomial as (2x3)2(2x - 3)^2.
  3. Complete the Sentence: Now we can complete the sentence using the factored form of the trinomial. The sentence would be: "The trinomial 4x212x+94x^2 - 12x + 9 can be factored as (2x3)2(2x - 3)^2."

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