State true or false with brief justification: if fx) and g(x) be two polynomials of degree n and m respectively, then degree of the polynomial f(x).g(x) is n.m.

State TRUE or FALSE with brief justification: If fx) and g(x) be two polynomials of degree n and m respectively, then degree of the polynomial f(x).g(x) is n.m. 1998 NEHU J:dad hon dho