mariana4444
mariana4444 mariana4444
  • 12-07-2020
  • Mathematics
contestada

Can someone answer this question for me? Thank you.

Can someone answer this question for me Thank you class=

Respuesta :

Alfpfeu
Alfpfeu Alfpfeu
  • 12-07-2020

Answer:

[tex]\boxed{\sf \ \ \ 3x^3-9x^2-30x=3x(x-5)(x+2) \ \ \ }[/tex]

Step-by-step explanation:

hello

step 1 - put 3x in factor

[tex]3x^3-9x^2-30x=3x(x^2-3x-10)[/tex]

step 2 - factorise the quadratic form

product of zeros are -10 and the sum is 3, the roots are 5 and -2, as below

[tex]x^2-3x-10=x^2+2x-5x-10=x(x+2)-5(x+2)=(x-5)(x+2)[/tex]

so the answer is

[tex]3x^3-9x^2-30x=3x(x-5)(x+2)[/tex]

hope this helps

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