Question

Simplify by finding the product of the polynomial. Identify the degree place terms in descending order.

Answer 1

Given:

$(8n-4)(n^2+9)$

To simplify and identify the degree:

On simplification we get,

$\begin{gathered} (8n-4)(n^2+9)=8n^3+72n-4n^2-36 \\ =8n^3-4n^2+72n-36 \end{gathered}$

Therefore, the simplest form is,

$8n^3-4n^2+72n-36$

And the degree of the given polynomial is 3.