find all zeros/roots of 2x^3-3x^2-45x-54

PLease help me I am confused
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By inspection or simple trial and error x=-3 is a root/zero, so if we divide the polynomial by x+3 we get a quadratic:

2x^2-9x-18, which factorises: (x-6)(2x+3), so the roots/zeroes are -3, -3/2, 6.

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