Answer:
The first factor 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
Step-by-step explanation:
Answer:
Step-by-step explanation:
The given expression of this problem is:
[tex](a^{2} )(2a^{3} )(a^{2}-8a + 9)[/tex]
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:
[tex](a^{2} )(2a^{3} )(a^{2}-8a + 9)\\2a^{5}(a^{2}-8a + 9)\\2a^{7}-16a^{6}+18a^{5}[/tex]
so, as you can see, the product has a degree of 7.
