I've been trying to understand how ${x^3-12x+9}$ factors to $(x-3) (x^2+3 x-3)$ What factoring rule does this follow? The net result seems to be similar to what is attained through the sum/

Feb 28, 2016 · Proceed to factor the polynomial to find the other non-rational roots. I note that if you allow complex roots that are with many cube roots and other radicals, then all cubic …

May 29, 2016 · The solution given is as follows: solution in Slader. Obviously, one cannot use synthetic division to factor our $ (2x +3)$ for the division works only for factors of the form $ (x …

Jan 7, 2018 · I am asking for detailed steps how to factor the cubic polynomial $${x^3-3x+2}$$ The solution is $${(x-1)^2(x+2)}$$

Since you have a cubic, you know that the end behavior tends towards opposite infinities, and also, irrational roots and complex roots come in pairs, so you must have 1 rational root with a …

As Andrew Salmon's comment points out, the easiest thing to try first to factor a cubic polynomial is to try to pair off the terms and see if they share a common factor.

Aug 9, 2014 · I need to factor this in order to solve part of the problem but I was never taught how to factor polynomial with missing terms. I have tried using synthetic division and got $ (\lambda …

Jul 5, 2015 · So in the worst case, you could try the possibilities $1,2,3,4,6,9,12,18,27,36,54,108$ as well as their negatives and then use polynomial long division when and if you find a root.

5 The way to factor a four-term polynomial like this is to apply Rational Root Theorem along with synthetic division or substitution to determine whether a rational root works for the polynomial …

Feb 5, 2021 · 0 My polynomial: $ 2400x^ {3} - 9880 x^ {2} - 266 x + 123 = 0 $ So far, I've tried to solve this polynomial with synthetic division, the Wiki-How, and this page, but nothing seems …