Pregunta
Factor out the greatest common factor in the expression. \[ x^{2}(x-8)+19(x-8) \] Select the correct choice below and fill in any answer boxes within your choice. A. \( x^{2}(x-8)+19(x-8)=\square \) B. The polynomial is prime.
Ask by Lindsey Ruiz. in the United States
Mar 19,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
A. \( (x-8)(x^2+19) \)
Solución
We start with the original expression:
\[
x^{2}(x-8) + 19(x-8)
\]
Notice that both terms share the common factor \((x-8)\). We can factor it out:
\[
x^{2}(x-8) + 19(x-8) = (x-8)(x^2+19)
\]
Thus, the correct answer is:
**A.** \((x-8)(x^2+19)\)
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Simplifique esta solución Mind Expander
To factor out the greatest common factor in the expression \( x^{2}(x-8)+19(x-8) \), we can see that both terms share a common factor of \( (x-8) \). So, we can factor it out: \[ x^{2}(x-8)+19(x-8) = (x-8)(x^{2} + 19) \] The correct choice is: A. \( x^{2}(x-8)+19(x-8)=(x-8)(x^{2} + 19) \)
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