  A slice decomposition is an expression of a homogeneous polynomial as a sum
of forms with a linear factor. A strength decomposition is an expression of a
homogeneous polynomial as a sum of reducible forms. The slice rank and strength
of a polynomial are the minimal lengths of such decompositions, respectively.
The slice rank is an upper bound for the strength and the gap between these two
values can be arbitrary large. However, in line with a conjecture by Catalisano
et al. on the dimensions of secant varieties of the varieties of reducible
forms, we conjecture that equality holds for general forms. By using a weaker
version of Fr\"oberg's Conjecture on the Hilbert series of ideals generated by
general forms, we show that our conjecture holds up to degree $7$ and in degree
$9$.
