SOLUTION: factor polynomial 20w^2+100w +40 , i know that it is 20(w^2+5w+2), but doing it set by step is fuzz to me ..like writing it out. Need help i have been up studying 15hours.... than

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: factor polynomial 20w^2+100w +40 , i know that it is 20(w^2+5w+2), but doing it set by step is fuzz to me ..like writing it out. Need help i have been up studying 15hours.... than      Log On


   



Question 934659: factor polynomial
20w^2+100w +40 , i know that it is 20(w^2+5w+2), but doing it set by step is fuzz to me ..like writing it out. Need help i have been up studying 15hours.... thanks..

Found 3 solutions by jim_thompson5910, TimothyLamb, KMST:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You have factored it fully as you cannot factor w%5E2%2B5w%2B2. There are no two whole numbers that multiply to 2 (last term) and add to 5 (middle coefficient).
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Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
20xx + 100x + 40 = 0
xx + 5x + 2 = 0
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the above quadratic equation is in standard form, with a=1, b=5 and c=2
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 5 2
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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the quadratic has two real roots at:
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x = -0.438447187
x = -4.56155281
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answer:
(x + 0.438447187)(x + 4.56155281)
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Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!

It is not pretty, because the solutions to w%5E2%2B5w%2B2=0 are
w=%28-5+%2B-+sqrt%2817%29%29%2F2 .
If the solutions had been nice whole numbers,
you would have seen the factoring.
Probably you should go to sleep now, and so do I.