SOLUTION: New Problem, Factor: 4 t2 + 20 t + 25

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: New Problem, Factor: 4 t2 + 20 t + 25       Log On


   



Question 104047: New Problem, Factor:

4 t2 + 20 t + 25

Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
For you to understand the solution, see the lesson, "Factoring trinomials: SHORTCUT!!!"


If we let 4t%5E2%2B20t%2B25=0,
t=-5%2F4
4t=-5
4t%2B5=0
This is a PERFECT SQUARE!!!
Therefore,
4t%5E2%2B20t%2B25=%284t%2B5%29%5E2