Factor out the greatest common factor, If the greatest common factor is 1, fust retype the polynomial, \( 18 h^{3}-3 h^{2} \)

To factor out the greatest common factor from the polynomial \( 18 h^{3}-3 h^{2} \), we look for a common factor in both terms. Here, the greatest common factor is \( 3h^{2} \). When we factor this out, we get: \( 3h^{2}(6h - 1) \). Polynomials can often seem intimidating, but breaking them down into their components can really simplify things. In fact, it's a bit like cleaning out a closet; once you identify what's truly essential (the greatest common factor), everything becomes much tidier and easier to manage. When factoring, a common mistake is forgetting to include all the variables when identifying the GCF. Always remember to check the coefficients and the variables in each term closely. If you overlook even a small factor, it can lead to incorrect results! Keeping those details in check makes all the difference.