harley6 harley6
  • 04-04-2016
  • Mathematics
contestada

factor the following trinomial by grouping

9x^3+30x^2+24x

Respuesta :

ottnakyla33 ottnakyla33
  • 04-04-2016
Factor

9x3+30x2+24x
9x3
+30x2
+24x

=3x(3x+4)(x+2)

Answer Link
Exvited
Exvited Exvited
  • 04-04-2016
[tex]9x^3+30x^2+24x \\ \\ gcf = 3x \\ \\ 3x ( \frac{9x^3}{3x} + \frac{30x^2}{3x} + \frac{24x}{3x} ) \\ \\ 3x(3x^2 + 10x + 8) \\ \\ 3x ( 3x^2 + 6x + 4x + 8) \\ \\ 3x(3x(x + 2) + 4(x + 2)) \\ \\ 3x(x + 2)(3x + 4) \\ \\ [/tex]

The final result is: 3x(x + 2)(3x + 4).
Answer Link

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