Pregunta
Solución de inteligencia artificial de Upstudy
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Solución
Let
. Then the expression becomes
We look for two numbers that multiply to
and add to
; these numbers are
and
. Thus, we can factor as
Substitute back
to obtain
This is the factorization of
.
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The Deep Dive
Did you know this polynomial can be factored using substitution? If we let
, we can rewrite the expression as
. This quadratic can be factored to find its roots, and then we can back-substitue for
to get a complete picture!
Now, once factored, solving
can lead to finding
values that help in various real-world scenarios, like optimizing areas or modeling physical phenomena. This polynomial is like a treasure map guiding us to important values often used in engineering and physics!

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