Question

因式分解：x^4＋x^3＋4x^2＋3x＋3

Answer 1

x^4+x^3+4x^2+3x+3

=(x^4+x^3+x^2)+(3x^2+3x+3)

=x^2(x^2+x+1)+3(x^2+x+1)

=(x^2+3)(x^2+x+1)