SOLUTION: factor completely 5X2 + 20X - 60 (note the 2 is squared) What I have for work is =5(x2 + 5(4x) + 5(-12) =5(x2 + 4x -12) I think this is correct but not sure if there is more

Algebra ->  Equations -> SOLUTION: factor completely 5X2 + 20X - 60 (note the 2 is squared) What I have for work is =5(x2 + 5(4x) + 5(-12) =5(x2 + 4x -12) I think this is correct but not sure if there is more      Log On


   



Question 317905: factor completely 5X2 + 20X - 60 (note the 2 is squared) What I have for work is
=5(x2 + 5(4x) + 5(-12)
=5(x2 + 4x -12)
I think this is correct but not sure if there is more to be factored. Email address is 9-iron@wctc.net

Found 2 solutions by stanbon, Earlsdon:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
factor completely 5X2 + 20X - 60 (note the 2 is squared) What I have for work is
=5(x2 + 5(4x) + 5(-12)
=5(x2 + 4x -12)
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OK so far.
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To factor further,
think of two numbers whose product is -12 and whose sum is 4.
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The numbers are +6 and -2
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Rewrite the problem as:
= 5(x^2 +6x-2x -12)
Factor to get:
= 5[(x(x+6)-2(x+6)]
Factor again:
= 5(x+6)(x-2)
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Cheers,
Stan H.
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Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
So far, so good!
5x%5E2%2B12x-60+=+5%28x%5E2%2B4x-12%29 You can factor the trinomial in parentheses thus...
highlight%285%28x-2%29%28x%2B6%29%29