naiomi24823 naiomi24823
  • 18-03-2020
  • Mathematics
contestada

Which shows one way to determine the factors of x^3+5x^2-6x-30 by grouping?

Respuesta :

lavanyaande
lavanyaande lavanyaande
  • 26-03-2020

[tex]\left(x^{2}-6\right)(x+5)[/tex] are the factors of the expression by grouping

Step-by-step explanation:

[tex]x^{3}+5 x^{2}-6 x-30[/tex]

We have to group the terms as,

[tex]\left(x^{3}+5 x^{2}\right)-(6 x-30)[/tex]

We can take the common factors as,

= [tex]x^{2}(x+5)-6(x+5)[/tex]

So it can be written as,

= [tex]\left(x^{2}-6\right)(x+5)[/tex]

So it was factorized by grouping.

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