SOLUTION: Hi, can you please help me? I need to factor the following completely: 20x^6-7x^5-6x^4-500x^4+175x^3+150X^2 Thank you so much!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hi, can you please help me? I need to factor the following completely: 20x^6-7x^5-6x^4-500x^4+175x^3+150X^2 Thank you so much!      Log On


   

Question 400214: Hi, can you please help me?
I need to factor the following completely:

20x^6-7x^5-6x^4-500x^4+175x^3+150X^2
Thank you so much!
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!

for the factor 20x%5E2-7x-6=20%28x-x1%29%28x-x2%29
20x%5E2-7x-6=0
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-%28-7%29%2B-+sqrt%28+%28-7%29%5E2-4%2A20%2A%28-6%29+%29%29%2F%282%2A20%29+
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x1+=+%287%2B+23%29%2F40+______ x2=+%287-+23%29%2F40+
x1+=+3%2F4+______ x2=+-+2%2F5+

_
for the factor %28x%5E2-25%29
formula a%5E2-b%5E2=%28a-b%29%2A%28a%2Bb%29
%28x%5E2-25%29=%28x%29%5E2-%285%29%5E2=%28x-5%29%28x%2B5%29
So
x%5E2%2820x%5E2-7x-6%29%2A%28x%5E2-25%29=x%5E2%284x-5%29%285x%2B2%29%28x-5%29%28x%2B5%29