What is the possible rational roots for this polynomial 6x³+5x²+10x+3=0

See below.

Step-by-step explanation:

Using the Rational Roots Theorem:

Factors of 3: 1, 3 ( = p).

Factors of 6: 1,2,3,6 ( = q).

Possible real roots are a 1 or 3 from p / q = + / - 1/1, + / - 3/1, + / -1/2, + / - 1/3, + / - 1/6, + / - 3/2.