Question

Dado o polinômio P(x)=2x^3-5x^2+x-3,calcule P(a+2)

Answer 1

$p(x) = 2 x^{3} - 5 x^{2}+x-3 p(a+2) = 2. (a+2)^{3} - 5. (a+2)^{2} + a+2-3 p(a+2) = 2. ( a^{3} + 6a^{2} +12a+8) - 5.( a^{2} + 4a +4) + a-1 p(a+2) = 2a^{3} + 12a^{2} + 24a + 16 - 5a^{2} -20a -20 + a -1 p(a+2) = 2a^{3} + 7a^{2} + 4a - 4 + a - 1 p(a+2) = 2a^{3} + 7a^{2} + 5a - 5$