<PRE><B>Question 159228</B>
Factoring Completely: How could you factor a problem like this: (a^2 - 10ab + 3b^2)
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The factors will have the form (a - Rb)*(a - Sb) where R and S are to be found.
R*S = +3 and R+S = -10.  R and S have to be negative, since their sum is negative and their product is positive.
There are no integers that fit.
The values can be found by using the quadratic eqn:
*[invoke solve_quadratic_equation 1,-10,3]
The values are R = (5 + sqrt(22)) and S = (5 - sqrt(22))
Sub those for R and S into (a - Rb)*(a - Sb)

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