Question

Find the product of the following polynomial ( m³ - 2m +3 ) (2m + 4)​

Answer 1

Given,

The polynomials are $\[\left( {{m^3} - 2m + 3} \right)\]$ and $\[\left( {2m + 4} \right)\].$

Solution,

Therefore, the product of the polynomial is

$\[\begin{array}{l} \Rightarrow \left( {{m^3} - 2m + 4} \right)\left( {2m + 4} \right)\\ \Rightarrow 2{m^4} + 4{m^3} - 4{m^2} - 8m + 8m + 16\\ \Rightarrow 2{m^4} + 4{m^3} - 4{m^2} + 16\end{array}\]$

Hence, the product of the polynomial is$\[2{m^4} + 4{m^3} - 4{m^2} + 16\].$