Final answer:
To find the roots of the polynomial, we need to set the equation equal to zero and solve for x. The largest root can be found by graphing the polynomial or evaluating it at different values of x.
Step-by-step explanation:
To find the roots of the polynomial, we need to set the equation equal to zero and solve for x. The given polynomial is: f(x) = 3x³ + 12x² + 3x - 18. We can factor out a common factor of 3: f(x) = 3(x³ + 4x² + x - 6). Then, we can use factoring, synthetic division, or the rational root theorem to find the roots of the polynomial.
The largest root of the polynomial can be found by either graphing the polynomial and identifying the highest point on the graph, or by evaluating the polynomial at different values of x to find the largest output value.
Please note that the given equation in your question (x²+ +1.2 x 10-2x -6.0 × 10-³ = 0) seems to be incorrect or incomplete, so I used the polynomial provided (f(x) = 3x³ + 12x² + 3x - 18) to answer this question.