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klio [65]
3 years ago
5

Factor the polynomial completely

Mathematics
1 answer:
aliina [53]3 years ago
5 0

We have 2x^2-8.




First let us factor the 2 to obtain,


2(x^2-4)


We can now see clearly that the expression inside the parentheses is a difference of two squares.



We now write the 4 as 2². So that we obtain the expression,



2(x^2-2^2)


Recall that


a^2-b^2=(a+b)(a-b)



Hence our expression becomes,




2(x+2)(x-2)



Therefore, when factored completely,




2x^2-8=2(x+2)(x-2)






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