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TOV VYHLeboarculatorExpand CloseThe polynomial x2 – 2x – 24 can be factored as (x – 6) (x + 4).What are the roots of the polynomial?Enter the roots as integers or decimals. If there is more than onesolution, separate them by commas.

TOV VYHLeboarculatorExpand CloseThe polynomial x2 2x 24 can be factored as x 6 x 4What are the roots of the polynomialEnter the roots as integers or decimals If class=

Respuesta :

Given:

[tex]f(x)=x^2-2x-24[/tex]

To find the roots of given polynomial,

[tex]\begin{gathered} f(x)=x^2-2x-24 \\ f(x)=x^2+4x-6x-24 \\ f(x)=0 \\ x^2+4x-6x-24=0 \\ x(x+4)-6(x+4)=0 \\ (x-6)(x+4)=0 \\ x-6=0\text{ , x+4=0} \\ x=6,x=-4 \end{gathered}[/tex]

Roots of given polynomial is x=6,-4.

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