SOLUTION: polynomial in factored form: -t^3-6t^2+11t+66= dlbtaw@yahoo.com

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Question 310513: polynomial in factored form:
-t^3-6t^2+11t+66=

dlbtaw@yahoo.com

Found 2 solutions by stanbon, Edwin McCravy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
polynomial in factored form:
-t^3-6t^2+11t+66=
----------------
I graphed it and found a zero at x = -6
-----
Use synthetic division to find the other zeroes:
-6....-1....-6....11....66
......-1.....0....11....|..0

Solve -x^2+11 = 0
x = sqrt(11) or x = -sqrt(11)
=================================
cheers,
Stan H.

Answer by Edwin McCravy(20065) About Me  (Show Source):
You can put this solution on YOUR website!
red%28-t%5E3-6t%5E2%29%29blue%28%22%22%2B11t%2B66%29

The other tutor's solution is incorrect:

Factor out red%28-t%5E2%29 from the two red terms:

(Don't forget that when you factor out a negative, 
the signs change inside the parentheses!)

red%28-t%5E2%28t%2B6%29%29blue%28%22%22%2B11t%2B66%29

Factor out blue%28%22%22%2B11%29 from the two blue terms:

red%28-t%5E2%28t%2B6%29%29blue%28%22%22%2B11%2A%28t%2B6%29%29

Now I'll do some re-coloring:

-t%5E2%2Agreen%28%28t%2B6%29%29%29%22%22%2B11%2Agreen%28%28t%2B6%29%29%29

Take out the green green%28%28t%2B6%29%29

green%28%28t%2B6%29%29%28-t%5E2%2B11%29

That's it!  You can make it a tiny bit shorter by
reversing the terms in the second factor:

green%28%28t%2B6%29%29%2811-t%5E2%29

But that is not necessary.  To make the green one
match, you might want to reverse the terms in it too:

green%28%286%2Bt%29%29%2811-t%5E2%29

and then leave the whole thing black, like this:

%286%2Bt%29%2811-t%5E2%29

But it would be OK just to leave it like we had it above
without the coloring:

%28t%2B6%29%28-t%5E2%2B11%29

Edwin