Factor when divides the polynomial then the remainder is 0. The factorized form of the polynomial x²-64 is (x+8)(x-8).
A factor of n is a number which when multiplied by another number gives us the number n.
In order to factorize the given polynomial x²-64, we need to use the algebraic identity, therefore, we will use the identity,
[tex]x^2 - y^2 = (x+y)(x-y)[/tex]
As we can see that the given polynomial can be written as,
[tex]x^2 -64\\\\= x^2 - 8^2\\\\= (x+8)(x-8)[/tex]
Hence, the factorized form of the polynomial x²-64 is (x+8)(x-8).
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