Reformatting the input :

Changes make to your input need to not affect the solution: (1): \"x2\" was replaced by \"x^2\". 2 much more similar replacement(s).

Step 1 :

Equation in ~ the end of action 1 :

((((x4)-(2•(x3)))-3x2)-4x)-12

action 2 :

Equation at the finish of step 2 : ((((x4) - 2x3) - 3x2) - 4x) - 12

Step 3 :

Polynomial root Calculator :

3.1 uncover roots (zeroes) the : F(x) = x4-2x3-3x2-4x-12Polynomial roots Calculator is a collection of techniques aimed in ~ finding worths ofxfor i beg your pardon F(x)=0 Rational root Test is one of the above mentioned tools. It would certainly only find Rational Roots the is numbers x which have the right to be expressed together the quotient of two integersThe Rational root Theorem states that if a polynomial zeroes because that a rational numberP/Q then p is a factor of the Trailing continuous and Q is a element of the top CoefficientIn this case, the top Coefficient is 1 and the Trailing constant is -12. The factor(s) are: of the leading Coefficient : 1of the Trailing constant : 1 ,2 ,3 ,4 ,6 ,12 Let us test ....

PQP/QF(P/Q)Divisor
-11 -1.00 -8.00
-21 -2.00 16.00
-31 -3.00 108.00
-41 -4.00 340.00
-61 -6.00 1632.00
-121-12.0023796.00
11 1.00 -20.00
21 2.00 -32.00
31 3.00 -24.00
41 4.00 52.00
61 6.00 720.00
121 12.0016788.00

Polynomial roots Calculator discovered no rational roots