Question

因式分解2x的四次方-x的三次方+2x的平方+1

Answer 1

2X^4-X^3+2X^2+1

=2X^4-2X^3+2X^2+x^3+1

=(2X^4-2X^3+2X^2)+(x^3+1)

=2x^2(x^2-x+1)+(x+1)(x^2-x+1)

=(x^2-x+1)(2x^2+x+1)