Which expression is a factor of \( 3 x^{\wedge} 3-54 x^{\wedge} 2+12 x^{\wedge} ? \)

To find a factor of the expression \( 3x^3 - 54x^2 + 12x \), we can first factor out the greatest common factor (GCF). The GCF in this case is \( 3x \). Factoring \( 3x \) out gives us: \[ 3x(x^2 - 18x + 4) \] So, one possible factor we can identify is \( 3x \). As for a deeper dive, did you know that factoring polynomials like this one lays the foundation for solving quadratic equations? By breaking it down, you can find the roots of the polynomial and understand where the graph crosses the x-axis! Also, if you're interested in sharpening your skills, try factoring other polynomial expressions, or explore the various techniques of factoring, such as grouping or using the quadratic formula for more complex equations. Each approach offers a unique view of the mathematics involved!