"True: the product of two polynomials will be a polynomial regardless of the signs of the leading coefficients of the polynomials. When two polynomials are multiplied, each term of the first polynomial is multiplied by each term of the second polynomial."
When two polynomials are multiplied, each term of the first polynomial is multiplied by each term of the second polynomial. ... The result is always a polynomial, regardless what the coefficients might be of any of the terms, including the leading coefficients.
