Question

* Division of polynomial in one
variable
26.
$9m^{5} + 12m ^{4} - 6 m^{2} \: \: by \: \: 3m ^{2}$
​

Answer 1

P(x) = 9m^{5} + 12m ^{4} - 6 m^{2}

G(x) = 3m ^{2)

$\: \: \: \: \: \: \: \: \: \: \: {3m}^{3} + {4m}^{2} - 2m \\ 3m ^{2} | {9m}^{5} + {12m}^{4} - {6m}^{2} \\ \: \: \: \: \: \: \: \: { - 9m}^{5} - {12m}^{4} + {6m}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 0$

Therefore q(x) =

${3m}^{3} + {4m}^{2} - {2m}^{}$

By long division method, That solve.