SOLUTION: Factor {{{ 25y^2 -30y +9 }}}

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Question 631: Factor +25y%5E2+-30y+%2B9+
Answer by lordacro(12) About Me  (Show Source):
You can put this solution on YOUR website!
This one isn't as hard as it looks. The first question you should ask is "what times what equals twenty-five y squared?" The most obvious solution would be 5 and 5, or -5 and -5. (The only other possibilty is 25 and 1 but not likely here since the middle term is not factored by 25.)


Let's set up an equation. Since the middle term is positive and the last term positive, we know that both factors will be something minus something. Below, Q just represents info we don't know yet.

+%285y+-+Q%29%285y+-+Q%29+


We are looking for two numbers when multiplied by 5 and added make -30 and when multiplied by each other make 9. They both are negative numbers because of the signs used. The only strategy here is just to plug numbers in and FOIL until you find what works. Here is the solution:

+%285y+-+3%29%285y+-+3%29+ or +%285y-3%29%5E2+