SOLUTION: I'm trying to help my child with her homework and I'm clueless. Can anyone show me how to answer this and give me the solution? Factor each polynomial completely 2a�

SOLUTION: I'm trying to help my child with her homework and I'm clueless. Can anyone show me how to answer this and give me the solution? Factor each polynomial completely 2a� - 4a -2

Question 43822: I'm trying to help my child with her homework and I'm clueless. Can anyone show me how to answer this and give me the solution?
Factor each polynomial completely
2a� - 4a -2

Found 2 solutions by stanbon, jake_6233:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Factor each polynomial completely
2a� - 4a -2
Common factor of "2".
So, 2(a^2-2a-1)
Use the quadratic formula to factor a^2-2a-1:
a=[2+sqrt(4+4)]/2=[1+sqrt2]
OR
a=[1-sqrt2]
So the factors are:
2
(a-1-sqrt2]
[a-1+sqrt2]
Cheers,
stan H.
Answer by jake_6233(74) (Show Source): You can put this solution on YOUR website!
2a� - 4a -2 We have
a^2- 2a -1 then it is necessary to use the quadratic formula
x = (-(-2) +- sqrt( (-2_^2-4*2*(-2) ))/(2*2)
(16+-4*sqrt2)/4
Simplifying we have 4 +- sqrt2
I hope this helps
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