Factor completly: t(x)=x^4−7x^3+7x^2+25x−50

Answer 1

You will use either long division or synthetic division to find the first 1 or 2 terms. It is a trial and error process. In this case, there a just a few options---looking at the last term, we see that there are only 3 factors: 5, 2, and 1. Each one can be + or -, so there are a total of 6 choices for the first factor.

If you have not been taught synthetic division, you can look it up with Google--or just use long division.

Try either (x - 5) or (x + 2) for the 1st factor