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\left(y-6\right)\left(-y^{2}-6y-36\right)
By Rational Root Theorem, all rational roots of a polynomial are in the form \frac{p}{q}, where p divides the constant term 216 and q divides the leading coefficient -1. One such root is 6. Factor the polynomial by dividing it by y-6. Polynomial -y^{2}-6y-36 is not factored since it does not have any rational roots.