The factored form of the provided polynomial which is obtained by the method of split the middle term is (x-9)(x-3).
The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.
When a polynomial equation is expressed in its factors, then this equation is called the factored form of the polynomial.
The provided polynomial equation is,
[tex]x^2 - 12x+ 27[/tex]
Split the middle term to find the factors of the equation as,
[tex]x^2 - 12x+ 27\\x^2 - 9x-3x+ 27\\x(x-9)-3(x-9)\\(x-9)(x-3)[/tex]
Hence, the factored form of the provided polynomial which is obtained by the method of split the middle term is (x-9)(x-3).
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