There exist a name for multi-variable polynomials such that all of there exponents are equal to 1?

Question

I mean, a polynomial of the form:

$f(x_1,\ldots,x_n)=c_{1,\ldots,n}x_1x_2 \dots x_n+c_{1,\ldots,n-1}x_1x_2\dots x_{n-1}+\dots+c_1x_1+\dots+c_nx_n+c.$

I was tempted to call them square-free (but I know that means something else already for some people) or maybe free of squares (but kind of the same problem).

Thanks.