x^(3)-.453 x^(2)+3.61*10^(-2) x-1.55*10^(-3)

The given expression is a cubic polynomial:

\[
x^3 - 0.453x^2 + 0.0361x - 0.00155
\]

### Solving the Polynomial

To find the roots of this cubic polynomial, we need to solve the equation:

\[
x^3 - 0.453x^2 + 0.0361x - 0.00155 = 0
\]

### Analytical Solution
Cubic equations can be solved analytically using methods like Cardano's formula, but typically, numerical methods are used for more complex polynomials.

Would you like me to solve this equation for the roots numerically, or do you need a different analysis?

### Related Questions
1. How do you solve cubic equations analytically?
2. What are the numerical methods for solving cubic polynomials?
3. What is the significance of the discriminant in a cubic equation?
4. How does the nature of the roots change based on the coefficients?
5. Can all cubic polynomials be factored into simpler polynomials?

### Tip
When dealing with cubic polynomials, numerical methods are often the most practical approach, especially when the coefficients are not simple integers.

x^(3) - 0.453x^(2) + 3.61*10^(-2)x - 1.55*10^(-3)

Explore how to solve the cubic equation x^3 - 0.453x^2 + 0.0361x - 0.00155. This problem involves key algebraic concepts such as finding the roots of cubic polynomials and using numerical methods for non-integer coefficients. Suitable for high school students in Grades 10-12.

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