SOLUTION: Given three real numbers, the second number is five more than the three times the first number. The sum of all three numbers is 55. Write a polynomial function for the product of t

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Given three real numbers, the second number is five more than the three times the first number. The sum of all three numbers is 55. Write a polynomial function for the product of t      Log On


   

Question 1068041: Given three real numbers, the second number is five more than the three times the first number. The sum of all three numbers is 55. Write a polynomial function for the product of the three numbers in terms of the first number.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let's call them A, B, and C.
B=5%2B3A
A%2BB%2BC=55
Substituting to find C.
A%2B%285%2B3A%29%2BC=55
4A%2B5%2BC=55
C=50-4A
So then,
P=A%2AB%2AC
P=A%285%2B3A%29%2850-4A%29
P=%285A%2B3A%5E2%29%2850-4A%29
P=250A-20A%5E2%2B150A%5E2-12A%5E3
P=-12A%5E3%2B130A%5E2%2B250A