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23 May, 08:24

What is the factored form of the expressions. Factor completely. 6x^4-9x^3-36x^2+54x

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  1. 23 May, 08:30
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    6x⁴ - 9x³ - 36x ² + 54x can be rewritten as:

    3x (2x³ - 3x² - 12x + 18) =

    3x ((2x³ - 3x²) - 6 (2x - 3)) =

    3x (x² (2x - 3) - 6 (2x - 3)) =

    3x ((2x - 3) (x² - 6))

    Finally, 3x (2x - 3) (x² - 6) is the factored form of expression 6x⁴ - 9x³ - 36x ² + 54x

    Good luck.
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