x^3-9x+10 = 0 . 1. Notice that x= 2 is the root. 2. According to the Remainder theorem, it means that the given polynomial of degree 3 is divided by the binomial (x+2) without a remainder. 3. Divide x^3-9x+10 by (x+2) (long division). You will get a quadratic polynomial. 4. Find the roots of this quadratic polynomial using quadratic formula.
You can start here ====> 2 is an INTEGER root, so x = 2, and x - 2 = 0, so a factor is: x - 2.
You then divideby x - 2 to get a QUADRATIC trinomial.
Using this trinomial and the quadratic equation formula, you'll be able to get the other 2 roots.
Finally, present the other 2 roots in the requested form.