I am stuck on this problem
Identify the degree of each term of the polynomial and the degree of the polynomial in
-8x^3 + 6x^2 +5x +5
The degree of term 1 =
The degree of term 2 =
The degree of term 3 =
The degree of term 4 =
does the degree of the polynomial = 3 ?
3,2,1,0,3
To identify the degree of each term of a polynomial, you need to look at the exponent of the variable.
In the polynomial -8x^3 + 6x^2 + 5x + 5, we have four terms:
Term 1: -8x^3 (the variable has an exponent of 3)
Term 2: 6x^2 (the variable has an exponent of 2)
Term 3: 5x (the variable has an exponent of 1, although it's typically not written explicitly)
Term 4: 5 (the variable has an exponent of 0)
Therefore, the degree of each term is:
Degree of term 1: 3
Degree of term 2: 2
Degree of term 3: 1
Degree of term 4: 0
The degree of a polynomial is determined by the term with the highest degree. In this case, the term with the highest degree is -8x^3, which has a degree of 3. Therefore, the degree of the polynomial -8x^3 + 6x^2 + 5x + 5 is 3.
So, in response to your question, yes, the degree of the polynomial is indeed 3.