Answer:
The first factor of the expression has a degree of 2.
The second factor has a degree of 3.
The third factor has a degree of 2.
The product has a degree of 7.
Explanation:
The given expression of this problem is:
![(a^(2) )(2a^(3) )(a^(2)-8a + 9)](https://img.qammunity.org/2020/formulas/mathematics/high-school/x7shyl8jmfflm3hav17hbp1oeq103b10r3.png)
The degree of an expression is deduct by the exponent of each power.
So, the first factor of the expression has a degree of 2, because that's the exponent.
The second factor has a degree of 3.
The third factor has a degree of 2.
Now, to know the degree of the product, we have to solve the expression, and see what is the degree of the resulting polynomial expression:
![(a^(2) )(2a^(3) )(a^(2)-8a + 9)\\2a^(5)(a^(2)-8a + 9)\\2a^(7)-16a^(6)+18a^(5)](https://img.qammunity.org/2020/formulas/mathematics/high-school/rpzcik7jg1blh1555fa72q6bho9vq1s0s6.png)
so, as you can see, the product has a degree of 7.