# Thread: find the missing factor

1. ## find the missing factor

how do i do this problem

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

2. 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,
$\displaystyle 7m^2(5m^6-4m^3-6)=35m^8-28m^5-42m^2$
$\displaystyle 5m^6-4m^3-42$
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