FactorsConsider the degree of each polynomial in theproblem.The first factor has a degree ofThe second factor has a degree ofThe third factor has a degree ofThe produa has a deg…

Question

asked Sep 23, 2023 233k views

1 Answer

Abhimanyu Daspan · Answer 1 · 2023-09-30T12:59:04+0000

Given:

$(a^2)\left(2a^3\right)\lparen a^2-8a+9)$

To simplify:

Step-by-step explanation:

Using polynomial multiplication,

$\begin{gathered} (a^2)(2a^3)\operatorname{\lparen}a^2-8a+9)=2a^5\left(a^2-8a+9\right? \\ =2a^7-16a^6+18a^5 \end{gathered}$

Final answer:

$\begin{equation*} 2a^7-16a^6+18a^5 \end{equation*}$

The degree of the polynomial is the largest power value of the variable.

Here the factors are,

$(a^2)(2a^3)\operatorname{\lparen}a^2-8a+9)$

So, we have,

The degree of the first factor is 2.

The degree of the second factor is 3.

The degree of the third factor is 2.

The product has a degree of 7.