Question
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
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Answer
A. \( (x-8)(x^2+19) \)
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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. \( x^{2}(x-8)+19(x-8)=(x-8)(x^{2} + 19) \)