Posted by **ROCKY** on Sunday, July 24, 2011 at 1:37am.

factor by grouping if possible and check

5x^3+4x^2-10x-8

- algebra -
**MathMate**, Sunday, July 24, 2011 at 8:01am
5x^3+4x^2-10x-8

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^2-10x-8

=x^2(5x+4) -2(5x+4)

Taking (5x+4) as the common factor

=(x^2-2)(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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