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The polynomial
does not factor nicely with rational numbers. It does not have rational roots, so it cannot be factored into simpler polynomials using standard methods.
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To factorize the polynomial
, one approach is to look for rational roots using the Rational Root Theorem. Testing potential candidates derived from the coefficients, we can find that
is a root. After performing synthetic division or polynomial long division to divide
by
, we get:
Now, we must check if
can be factored further, but it does not have rational roots. Therefore, the factored form so far is: