Question

Sendo H(x) = x3 +2x e G(x) = 2x5 + 4x4 + 6x3 + 8, determinar o polinômio P(x) tal que
H(x).G(x) = P(x).

Answer 1

Resposta:

Olá boa tarde!

$H(x) = x^3 +2x\\G(x) = 2x^5 + 4x^4 + 6x^3 + 8$

$P(x) = H(x) * G(x)$

$P(x) = (x^3 +2x) * (2x^5 + 4x^4 + 6x^3 + 8)$

$P(x) = (2x^{3+5} + 4x^{3+4} + 6x^{3+3}+8x^3) + (4x^{1+5}+8x^{1+5}+12x^{1+4}+16x)$

$P(x) = (2x^{8} + 4x^{7} + 6x^{6}+8x^3) + (4x^{6}+8x^{6}+12x^{5}+16x)$

$P(x) = (2x^{8} + 4x^{7} + 6x^{6}+8x^3) + (12x^{6}+12x^{5}+16x)$

$P(x) = (2x^{8} + 4x^{7} + 18x^{6}+8x^3) + (12x^{5}+16x)$

Resposta:

$P(x) = 2x^{8} + 4x^{7} + 18x^{6}+12x^{5}+8x^3 }+16x$