Answer:
-3x3 - 2x - 4
Step-by-step explanation:
  ((((2•(x3))+x)-5x3)-3x)-4
  (((2x3 +  x) -  5x3) -  3x) -  4
Pulling out like terms :
 4.1     Pull out like factors :
   -3x3 - 2x - 4  =   -1 • (3x3 + 2x + 4) 
Polynomial Roots Calculator :
 4.2    Find roots (zeroes) of :       F(x) = 3x3 + 2x + 4
Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient
In this case, the Leading Coefficient is  3  and the Trailing Constant is  4.
 The factor(s) are:
of the Leading Coefficient :  1,3
 of the Trailing Constant :  1 ,2 ,4
 Let us test ....
  	P    Q    P/Q    F(P/Q)    	Divisor
      -1       1        -1.00        -1.00    	
      -1       3        -0.33        3.22    	
      -2       1        -2.00        -24.00    	
      -2       3        -0.67        1.78    	
      -4       1        -4.00        -196.00    	
      -4       3        -1.33        -5.78    	
      1       1        1.00        9.00    	
      1       3        0.33        4.78    	
      2       1        2.00        32.00    	
      2       3        0.67        6.22    	
      4       1        4.00        204.00    	
      4       3        1.33        13.78    	
Polynomial Roots Calculator found no rational roots
Final result :
  -3x3 - 2x - 4
Processing ends successfully
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