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Factoring a Cubic Polynomial - Mathematics Stack Exchange 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
Methods for efficiently factoring the cubic polynomial $x^3 + 1$ 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 polynomials and quartic polynomials are factorable
How to factor cubic polynomials? - Mathematics Stack Exchange 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-c)$ So my question is, how do you factor a polynomial like this?
How to factor a four term polynomial without grouping? 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 or not Here is how Rational Root Theorem works
How do I factor this cubic equation? - Mathematics Stack Exchange I'm okay at factoring some quadratics but this is cubic and I want to understand this one; it's driving me crazy How did we get from the formula to the polynomial? BTW, I'm doing some bezier curve learning and this is the formula I need, but I want to understand exactly how to factor this beast
Factoring a cubic polynomial? - Mathematics Stack Exchange 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 cubic So for your problem, the factors of $4$ are $\pm {1}, \pm {2},$ and $\pm {4}$ and the factors of $-1$ are obviously $\pm {1}$
How to factor out cubic polynomial with constant term? 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 to yield the solution of $ x = 0 1 $ Can somebody show me how to do it?