Factor by grouping
X^3+3X^2-5x-15
I get x^2(x+3)-5(x+3) is this correct????
ok so far, but keep going
= (x+3)(x^2 - 5)
Ok I thought it could go to (X^2-5)(x+3)
well, isn't that the same thing ?
( just like 3x4 = 4x3 )
Yes I guess I am not with it at the moment
To factor by grouping the expression X^3 + 3X^2 - 5X - 15, you can follow these steps:
1. Group the terms: Group the first two terms together and the last two terms together.
(X^3 + 3X^2) + (-5X - 15)
2. Factor out the greatest common factor from each group:
X^2(X + 3) - 5(X + 3)
3. Notice that both groups have a common factor of (X + 3). Factor out (X + 3):
(X + 3)(X^2 - 5)
Therefore, the factored form of the expression X^3 + 3X^2 - 5X - 15 is (X + 3)(X^2 - 5).
Your result, X^2(X + 3) - 5(X + 3), is partially correct. You correctly factored out the common factor of (X + 3), but didn't factor the remaining expression (X^2 - 5).