I am not familiar with algebraic geometry or its terminology and new
to sage.

p_1,...p_n and q are elements of Z[x_1,...,x_n]. In my context I have
some evidence that q can be written as something like q = p_1*p_2
+ ... + p_5*p_6. In other words q is a degree 2 polynomial in the
p_i's. Can Sage find out if q can be written in terms of the p_i's?

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