document.write( "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. \n" ); document.write( "

Algebra.Com's Answer #683268 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let's call them A, B, and C.
\n" ); document.write( " $\"B=5%2B3A\"$
\n" ); document.write( " $\"A%2BB%2BC=55\"$
\n" ); document.write( "Substituting to find C.
\n" ); document.write( " $\"A%2B%285%2B3A%29%2BC=55\"$
\n" ); document.write( " $\"4A%2B5%2BC=55\"$
\n" ); document.write( " $\"C=50-4A\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"P=A%2AB%2AC\"$
\n" ); document.write( " $\"P=A%285%2B3A%29%2850-4A%29\"$
\n" ); document.write( " $\"P=%285A%2B3A%5E2%29%2850-4A%29\"$
\n" ); document.write( " $\"P=250A-20A%5E2%2B150A%5E2-12A%5E3\"$
\n" ); document.write( " $\"P=-12A%5E3%2B130A%5E2%2B250A\"$ \n" ); document.write( "

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