Pregunta
6.1.2 Exam: Semester 2 Exam
Question 2 of 40
What are the zeros of the function
?
Question 2 of 40
What are the zeros of the function
Ask by Harris Young. in the United States
Jan 31,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The zeros of the function are
and
.
Solución
To find the zeros of the function
, we need to determine the values of
that make the numerator equal to zero while ensuring the denominator is not zero.
-
Find the zeros of the numerator:Solve the quadratic equation using the quadratic formula:Here,
, , and : This gives two solutions: -
Ensure the denominator is not zero at these values:Solving:The denominator is zero at
and . Since our zeros and are not among these, they are valid.
Conclusion:
The zeros of the function are
and
.
The zeros of the function
Answer: B.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Beyond the Answer
To find the zeros of the function
, we need to set the numerator equal to zero. So we solve
. Factoring gives us
, which means the zeros are
and
.
So the correct answer is B. -4, 2.
To double-check, let’s plug in -4 and 2 back into the original function (without dividing by the denominator to avoid any undefined points) and confirm that these values make the function equal to zero. That simple verification reinforces that our calculated zeros are indeed correct!
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