Josietrabellll Josietrabellll

03-07-2018
Mathematics

contestada

what is the value of the coefficient 2x^3+18x^2-18x-162=2(x+k)(x-k)(x+9)

Respuesta :

03-07-2018

The polynomial
[tex]2x^3+18x^2-18x-162=(2x^3+18x^2)-(18x+162)=[/tex]
[tex]=2x^2(x+9)-18(x+9)=2(x+9)(x^2-9)=2(x+9)(x+3)(x-3)[/tex].
Then k=3.

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