Solve the equation x^6+3x^5+x^4-5x^3-6x^2-2x=0 in the real number system

First, pull out a factor of .



Notice that when (which you can arrive at via the rational root theorem), you have



which means you can pull out a factor of . Upon dividing you get



The rational root theorem will come in handy again, suggesting that appears a second time as a root, which means



Now this is more readily factored without having to resort to the rational root theorem. You have



so in fact, shows up as a root for a third time.

So, you have



Two roots are obvious, and (with multiplicity 3). The remaining two are given by

3units/ 5 feet = 60 units/ 100 feet3 units/ 5 feet = 18 units/ 30 feetthe dimensions of the scale drawing are 60 units by 18 units.hope this !

72 is the mode because it shows up the most number of times