Answer:
x(x-3)(x+5)
Step-by-step explanation:
The given expression is:
x³ + 2x² - 15x
We can note that we can take x as a common factor from all terms, this will give us:
x(x² + 2x - 15)
Now, the expression x² + 2x - 15 is a second degree polynomial which can be factorized using the quadratic formula attached in the image.
In the given expression, we have:
a = 1
b = 2
c = -15
Substituting in the formula, we would find that the factored form of
x² + 2x - 15 is (x-3)(x+5)
Based on the above, the complete factorization of the given expression would be:
x(x-3)(x+5)
Hope this helps :)