Answer
$-1,0,\frac{13\pm\sqrt {29}}{12}$
Work Step by Step
$P(x)=x(6x^3-7x^2-8x+5)$
Test $-1, P(-1)=(-1)(-6-7+8+5)=0$
Use synthetic division as shown:
$P(x)=x(x+1)(6x^2-13x+5)$
The zeros are $-1,0,\frac{13\pm\sqrt {29}}{12}$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.