SOLUTION: New Problem, Factor: - t2 + 4 t - 3

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Question 104049: New Problem, Factor:
- t2 + 4 t - 3
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
Normal style of factoring would take many trials and errors, so I prefer this method:
To factor any trinomial ax%5E2%2Bbx%2Bc,
Solve for x as if ax%5E2%2Bbx%2Bc=0 and consequently you may opt to use the QUADRATIC FORMULA!!!
There you would find two roots: say y and z
Then,
x=y or x=z
x-y=0 or x-z=0
Here, x-y and x-z are the factors.
NOTE: ax%5E2%2Bbx%2Bc is considered PRIME or not factorable if y and/or z are irrational or imaginary.
Back to the problem of yours,
-t%5E2%2B4t-3
If we let -t%5E2%2B4t-3=0,
Then,
t=1+or+t=3
t-1=0 or t-3=0
Therefore,
-t%5E2%2B4t-3=%28t-1%29%2A%28t-3%29