The polynomial y = x^3 - 2x^2 - 85x + 350 has a factor of (x+10). use this factor to completely factor the polynomial
Using the factor (x+10), we can perform polynomial long division or synthetic division to divide the given polynomial by (x+10) to find the other factors.
Performing synthetic division:
-10 | 1 -2 -85 350
-------------------------
1 -10 15 -350
The result is the quotient 1x^2 - 10x + 15, which can be factored as (x-5)(x-3).
Therefore, the complete factorization of the polynomial y = x^3 - 2x^2 - 85x + 350 is:
y = (x+10)(x-5)(x-3)