Question

1. Fatore os seguintes polinômios.
a)
${m}^{3} + 27$
b)
${p}^{3} - 1000$
c)
$64 {x}^{3} + 1$
d)
$125 {y}^{3} - 216 {z}^{3}$
​

Answer 1

$a) \\ {m}^{3} + 27 = (m + 3)( {m}^{2} - 3m + 9) \\ b) \\ p^{3} - 1000 = (p - 10)( {p}^{2} + 10p + 100) \\ c) \\ 64 {x}^{3} + 1 = (4x + 1)(16 {x}^{2} - 4x + 1) \\ d) \\ 125 {y}^{3} - 216 = (5y - 6)(25 {y}^{2} + 30y + 36)$