Question

1. Sendo P(X) =x³+2x² e Q (x)=x⁴-x³+x2-1,calcule P(x).Q(x)​

Answer 1

Resposta

P(x) . Q(x)=

$(x^3+2x^2).(x^4-x^3+x^2-1)=\\ \\ x^3(x^4-x^3+x^2-1)+2x^2(x^4-x^3+x^2-1)=\\ \\ x^7-x^6+x^5-x^3+2x^6-2x^5+2x^4-2x^2=\\ \\ x^7-x^6+2x^6+x^5-2x^5+2x^4-x^3-2x^2=\\ \\ \\\fbox{ x^7+x^6-x^5+2x^4-x^3-2x^2 }$