Factorize: x4+x2+1
Factorize the Expression:
The given expression is,
x4+x2+1=x4+x2+1+x2-x2
=x4+2x2+1-x2
=x2+12-x2 [∵a+b2=a2+2ab+b2]
=(x2+1+x)(x2+1-x) [∵a2-b2=(a+b)(a-b)]
Hence the factors of x4+x2+1are (x2+1+x) and (x2+1-x).
Factorize : x4+x2+25.
The factors of x4+x2+25 are