Question

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.

Answer 1

Given:

`f(x)=x^2-2x-24`

To find the roots of given polynomial,

`\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}`

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