# find the missing factor

• Mar 16th 2006, 09:46 PM
jim1174
find the missing factor
how do i do this problem

find the missing factor 7m2 times (?) = 35m8 -28m5 -42m2
• Mar 17th 2006, 08:40 AM
ThePerfectHacker
Quote:

Originally Posted by jim1174
how do i do this problem

find the missing factor 7m2 times (?) = 35m8 -28m5 -42m2

I understand the problem as,
\$\displaystyle 7m^2 (?)=35m^8-28m^5-42m^2\$
On the right side you get \$\displaystyle 35m^8\$ thus, which number when multiplied by \$\displaystyle 7m^2\$ gives \$\displaystyle 35m^8\$? The answer is \$\displaystyle 5m^6\$. Now on the right side you also have \$\displaystyle -28m^5\$ now which number when multiplied by \$\displaystyle 7m^2\$ gives \$\displaystyle -28m^5\$? The answer is \$\displaystyle -4m^3\$. Now on the right side you also have \$\displaystyle -42m^2\$ now which number multiplied by \$\displaystyle 7m^2\$ gives \$\displaystyle -42m^2\$? The answer is \$\displaystyle -6\$ Thus, you have,
\$\displaystyle 7m^2(5m^6-4m^3-6)=35m^8-28m^5-42m^2\$