Simply distribute, multiplying the coefficients and adding exponents when necessary...
-5p^3 (4p^2 + 3p - 1)
The first term I'll explain then just do the rest
-20p^5
because -5*4 = -20 and p^3 * p^2 = p^5. Since we are multiplying bases with exponents, we keep the bases and add the exponents, now for the rest of the expression
-20p^5 -15p^4 + 5p^3, Option A.