Final answer:
The Rational Zeros Theorem helps list potential rational zeros of a polynomial by considering factors of the constant term divided by factors of the leading coefficient. If the provided equation is quadratic, the quadratic formula is used to find solutions. For higher degree polynomials, methods like synthetic division or graphing calculators may be necessary.
Step-by-step explanation:
The Rational Zeros Theorem is a useful tool in algebra that provides a list of possible rational zeros for a polynomial equation. For an equation of the form ax2 + bx + c = 0, where a, b, and c are constants, you can solve for the possible rational zeros by considering factors of the constant term c divided by factors of the leading coefficient a.
However, for the provided equation x2 + 1.2 x 10-2x - 6.0 × 10-3 = 0, there's a degree issue as it seems not to fit the traditional quadratic format. If it were a quadratic, the quadratic formula, which is x = (-b ± √(b2 - 4ac))/(2a), could be utilized to find the precise roots or solutions of the equation. In the case the equation leads to a cubic or higher degree polynomial, the process of finding zeros might involve graphing the function, synthetic division, or the use of a graphing calculator to identify where the function crosses the x-axis, indicating the zeros of the function.
If we are indeed dealing with a cubic polynomial, listing all possible zeros would require factoring out possible integer candidates considering the leading coefficient and the constant term. For cubic and higher degree polynomials, additional techniques like synthetic division or numerical methods might be necessary to pinpoint the exact zeros.