factorise x2+1/x2+2-2x-2/x. after the variable it is square.means raise to 2.
Share
factorise x2+1/x2+2-2x-2/x. after the variable it is square.means raise to 2.
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
X^2+1/x^2+2-2x-2/x=0
(X^4+1+2x^2-2x^3-2x)/x^2=0
Let,p(x)=x^4-2x^3+2x^2-2x+1=0
Let,x=1
(1)^4-2(1)^3+2(1)^2-2(1)+1
1+1+2-2-2
=0
Therefore,(x-1) is a factor of p(x).
Now,
(x^4-2x^3+2x^2-2x+1)/x-1
Therefore remainder =0and quotient= x^3-x^2+x-1
Now, x^3-x^2+x-1=0
Let x=1
(1)^3-(1)^2+1-1
=0
Therefore, (x-1) is a factor of x^3-x^2+x-1.
Therefore(x^3-x^2+x-1)/x-1
Remainder=0, quotient =x^2+1
Now, x^2+1=0
1=-x^2
X=-1
Therefore (x-1) is a factor of x^4-2x^3+2x^2-2x+1.