Answer:
x( x - 5)( x + 2)
Step-by-step explanation:
The polynomial is x^3 - 3x^2 -10x. Since each term has at least one x, we can factor out an x.
This gives us x( x^2 - 3x - 10).
Now, we may factor the second degree polynomial.
_ × _ = -10? (or a × c, where ax^2 + bx + c?)
_ + _ = -3? (or b?)
Well, -5 times 2 equals 10, and -5 plus 2 equals -3.
We use these values to factor further.
So, our final answer becomes x( x - 5 )( x + 2 ).
You can check this by simply multiplying and distributing the terms!
I hope this helped! :)
