The factor the given polynomial are 2,(x+4),(x-5).
We have given that the equation,
[tex]2x^2 -2x -40[/tex]
Factoring a polynomial is expressing the polynomial as a product of two or more factors.
We can factor out a 2.
[tex]2(x^2 - x - 20)[/tex]
Now, we can write down the 2 and factor the [tex](x^2 - x - 20)[/tex].
[tex](x^2-x - 20)=x^2-5x+4x-20\\ =x(x-5)+4(x-5)\\ =(x+4)(x-5)[/tex]
[tex]f(x)=2x^2 -2x -40=2(x^2 - x - 20)=2(x+4)(x-5)[/tex]
Therefore, the factor the given polynomial are 2,(x+4),(x-5).
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