Question

(x2 + 3x + 1)(x2 + x + 2)

Answer 1

$( x^{2} +3x+1)( x^{2} +x+2) \\ = x^{2} ( x^{2} +x+2)+3x( x^{2} +x+2)+1( x^{2} +x+2) \\ = x^{4}+ x^{3}+2 x^{2} +3 x^{3} +3 x^{2} +6x+ x^{2} +x+2 \\ = x^{4} +4 x^{3} +6 x^{2} +7x+2$