x^3-3x^2-10x write the polynomial in factord form show your work
To factor the polynomial x^3 - 3x^2 - 10x, we can first look for common factors. In this case, we can factor out an x:
x(x^2 - 3x - 10)
Now, we need to factor the quadratic expression inside the parenthesis, x^2 - 3x - 10. This can be factored by finding two numbers that multiply to give -10 and add to give -3. In this case, the numbers are -5 and 2:
x(x - 5)(x + 2)
So, the factored form of the polynomial x^3 - 3x^2 - 10x is x(x - 5)(x + 2).