SOLUTION: what to do? please help..find the GCF of the terms of each polynomial. Factor. upward arrow means exponent t^6 + t^4 - t^5 + t^2

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: what to do? please help..find the GCF of the terms of each polynomial. Factor. upward arrow means exponent t^6 + t^4 - t^5 + t^2      Log On


   

Question 170863: what to do? please help..find the GCF of the terms of each polynomial. Factor.
upward arrow means exponent
t^6 + t^4 - t^5 + t^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Notice how all of the terms have a "t" in common. So we need to look at the smallest exponent. Since the smallest exponent is 2, this means that t%5E2 is the GCF.

Note: because all of the coefficients are 1, this means that the GCF of the coefficients is 1.


====================================

Answer:


So the GCF is t%5E2


This means that we can factor out t%5E2 from t%5E6+%2B+t%5E4+-+t%5E5+%2B+t%5E2 to get t%5E2%28t%5E4+%2B+t%5E2+-+t%5E3+%2B+1%29