Question

Dados os polinômios A(x)= x²+2x-8 e B=2x-6
Determine:


a)A(X) ×B(X)

b) A(X)-B(X)

c) A(X)×A(X)

d) B(X)×B(X)

e) A(X)+B(X)


Quem puder me ajudar .

Answer 1

Resposta:

$A(x)=x^{2}+2x-8\\B(x)=2x-6\\ \\a)\\ \\ A(x).B(x)=2x-6.(x^{2}+2x-8)=2x^{3}+4x^{2}-16x-6x^{2}-12x+48=\\ \\2x^{3}-2x^{2}-28x+48\\ \\b)\\ \\A(x)-B(x)=x^{2}+2x-8-2x-6=x^{2}-14\\ \\c)\\ \\A(x).A(x)=(x^{2}+2x-8).(x^{2}+2x-8)=\\ \\x^{4}+2x^{3}-8x^{2}+2x^{3}+4x^{2}-16x-8x^{2}-16x+64=\\ \\x^{4}+4x^{3}-12x^{2}-32x+64\\ \\d)\\ \\B(x).B(x)=(2x-6).(2x-6)=(2x-6)^{2}=(2x)^{2}-2.2x.6+6^{2}=\\ \\4x^{2}-24x+36\\ \\e)\\ \\A(x)+B(x)=x^{2}+2x-8+2x-6=x^{2}+4x-14$