Find all zeros and write the polynomial as a product of linear factors P(x) = x^5 - 15x^3 + 17x^2 +3x - 1

Show work please

Becca wants to mix fruit juice and soda to make a punch. she can buy fruit juice for $3 a gallon and soda for $4 a gallon. if she wants to make 28 gallons of punch at a cost of $3.25 a gallon, how many gallons of fruit juice and how many gallons of soda should she buy?