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math

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factor:

2x^3 - x^2 - 162x + 81

and could you show steps as well? thanks
Thank you

  • math -

    Check for a pattern, as follows:
    2x^3 - x^2 - 162x + 81
    =x²(2x-1) -81(2x-1) (group terms)
    =(2x-1)(x²-81) (factor groups)
    =(2x-1)(x+9)(x-9) (diff.of 2 squares)

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