SOLUTION: How do you completly factor a^2 - 10ab + 3b^2, what's the answer?

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Question 150656: How do you completly factor a^2 - 10ab + 3b^2, what's the answer?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a^2 - 10ab + 3b^2
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Using the Quadratic formula you get:
a = [10b +- sqrt(100b^2 - 4*3b^2)]/2
a = [10b +- sqrt(88b^2)/2
a = [10b +- sqrt(22)b]
If these are the zeroes of the trinomial, then , by the factor Theorem,
the factors are:
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Factors:
(a - [10b + sqrt(22)b]) * (a - [10b - sqrt(22)b])
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Cheers,
Stan H.