Given:
[tex](a^2)\left(2a^3\right)\lparen a^2-8a+9)[/tex]To simplify:
Explanation:
Using polynomial multiplication,
[tex]\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}[/tex]Final answer:
[tex]\begin{equation*} 2a^7-16a^6+18a^5 \end{equation*}[/tex]The degree of the polynomial is the largest power value of the variable.
Here the factors are,
[tex](a^2)(2a^3)\operatorname{\lparen}a^2-8a+9)[/tex]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.