27) \( 35 x^{3}-10 x^{2}-56 x+10 \)

This polynomial is a cubic expression, which means it can potentially have up to three real roots. One fun way to find the roots is to try simple rational values, such as integers, using the Rational Root Theorem. If you find a root, you can then use synthetic division to simplify the polynomial further! Another interesting aspect is that the coefficients suggest that factoring by grouping might be an option here. Just keep an eye out for common factors in pairs! Always look for patterns in coefficients; they can sometimes lead to quicker solutions or easier factorizations!