Can you Simplify the Polynomial 1+4t+4t^2?

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Homework Help Overview

The discussion revolves around simplifying the polynomial expression 1 + 4t + 4t², with a focus on its factorization properties and classification as a perfect square trinomial.

Discussion Character

  • Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants explore the factorization of the polynomial and discuss its equivalence to a modified expression. There is a mention of the perfect square trinomial form, prompting questions about its implications.

Discussion Status

The discussion includes acknowledgment of the polynomial's properties, with some participants confirming the equivalence of different expressions. There is an ongoing exploration of the factorization concept without reaching a definitive conclusion.

Contextual Notes

Participants are operating under the assumption that the polynomial can be factored, and there is a focus on understanding the nature of the expressions involved.

afcwestwarrior
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1+ 4t + 4t^2

into

((1/4) + t + t^2) * 4
 
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Yes, the two expressions are equal, but all you've done is take a factor of 4 out of all three terms. The expression you started with is a perfect square trinomial, which means it can be factored into something of the form (a + b)^2.
 
Oh really. Thanks.
 

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