Question

x^4+x^3-2x^2+x+1 by x-1

Answer 1

Step by step solution :

Step  1  :

Equation at the end of step  1 :

((((x4)-(x3))-2x2)-x)-1

Step  2  :

Polynomial Roots Calculator :

 2.1    Find roots (zeroes) of :       F(x) = x4-x3-2x2-x-1
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  1  and the Trailing Constant is  -1. 

 The factor(s) are: 

of the Leading Coefficient :  1
 of the Trailing Constant :  1 

Answer 2

(x-1)×(x^3+2x^2)+1 hope it will help you