Question: Multivariate polynomials, inverse of coeffs ?

From the manual: coeffs - extract all coefficients of a multivariate polynomial. Is there a way of doing the reverse (giving the coefficients, obtain the multivariate polynomial) ? For univariate polynomials I know that the answer is yes because  PolynomialTools[FromCoefficientList] - return a univariate polynomial from list of coefficients. But what about multivariate polynomials?

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