Mathematics
sophiehoney
14

Factor the polynomial 30x^3 + 22x^2 + 4x completely.

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(1) Answers
brianDell

[latex]30x^3 + 22x^2 + 4x \\ \\ gcf = 2x \\ \\ 2x ( \frac{30x^3}{2x} + \frac{22x^2}{2x} + \frac{4x}{2x} ) \\ \\ 2x ( 15x^2 + 11x + 2) \\ \\ 2x (15x^2 + 6x + 5x + 2) \\ \\ 2x(3x(5x + 2) + (5x + 2)) \\ \\ 2x(5x + 2)(3x + 1) \\ \\ [/latex] The final result is: 2x(5x + 2)(3x + 1).

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