Posted by ROCKY on Sunday, July 24, 2011 at 1:37am.
factor by grouping if possible and check
5x^3+4x^210x8

algebra  MathMate, Sunday, July 24, 2011 at 8:01am
5x^3+4x^210x8
Note that the coefficients are
5,4, 10,8
with 5,4 as a common factor
=5,4, 2(5,4)
So we can factorize by grouping.
5x^3+4x^210x8
=x^2(5x+4) 2(5x+4)
Taking (5x+4) as the common factor
=(x^22)(5x+4)
would be the answer for rational factors.
Further factoring into
(x+√2)(x√2)(5x+4)
is possible but two of the factors are not rational.
which are in the same proportion
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