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grouping

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grouping

I really need help trying to factor by grouping, any help would be nice.
the problem is:
X^3+3X^2+10X+30
the answer is:
(x+3)(x^+10)
I just dont know how to get there.


There is a general formula for finding roots of third degree polynomials; but is very complicated.

In this case, however, you could observe that your polynomial can be seen as the sum of X^3+3X^2, and of 10X+30.
At this point, you can observe that you can rewrite X^3+3X^2 as X^2(X+3), and 10X+30 as 10(X+3).
Then you can apply the distributive property...

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