Pregunta
Find the roots of the factored polynomial.
Ask by Sanders Cummings. in the United States
Dec 19,2024
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The roots are 0 and 1.
Solución
The roots of the polynomial
are the values of
that make the polynomial equal to zero.
Set the polynomial equal to zero:
This equation is satisfied when:
-
⟹ -
⟹
So, the roots are:
0, 1
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Como
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Extra Insights
To find the roots of the factored polynomial
, we can set the equation equal to zero:
This gives us two factors to consider:
For the first factor
, the root is:
For the second factor
, the root is:
However, since
contributes a double root at
, we can list the roots as:
You can write the distinct roots as
or include their multiplicities as
. For the sake of simplicity, the final answer as a list of distinct values is:
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