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25x^2 -121Factor polynomial completely and state if polynomial is Prime or not.

Sagot :

Notice that:

[tex]25x^2-121=(5x)^2-(11)^2[/tex]

which is a difference of squares, then:

[tex]25x^2-121=(5x+11)(5x-11)[/tex]

Since it can be factored, the given polynomial is not prime.