Question

Consider the degree of each polynomial in the problem. The first factor has a degree of . The second factor has a degree of . The third factor has a degree of . The product has a degree of .

Answer 1

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

Explanation:

Answer 2

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)`

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)`

so, as you can see, the product has a degree of 7.