Identify the degree of each term of polyrnomial and the degree of the polynromial 0f -8x^3+8x^2+3x+4.
degree of the first term___________.
degree of the second tern___________.
degree of the third term___________.
degree of the fourth term____________. degree of the polynormial___________.
For the degree of individual terms, look at the exponent
for the degree of the polynomial, look at the degree of the term with the highest exponent,
so the degree of the polynomial is 3
To identify the degree of each term in a polynomial, we look at the power of the variable in each term. The degree of a term is equal to the exponent of the variable.
Let's analyze the polynomial -8x^3 + 8x^2 + 3x + 4:
The first term is -8x^3. The variable in this term is x and its exponent is 3. Therefore, the degree of the first term is 3.
The second term is 8x^2. The variable in this term is x and its exponent is 2. Therefore, the degree of the second term is 2.
The third term is 3x. The variable in this term is x and its exponent is 1 (implied). Therefore, the degree of the third term is 1.
The fourth term is 4. There is no variable present in this term. When there is no variable, the exponent is considered to be zero. Therefore, the degree of the fourth term is 0.
Finally, to find the degree of the polynomial, we compare the degrees of all the terms and choose the highest degree. In this case, the highest degree is 3, which belongs to the first term -8x^3. Therefore, the degree of the polynomial is 3.
To summarize:
- Degree of the first term: 3
- Degree of the second term: 2
- Degree of the third term: 1
- Degree of the fourth term: 0
- Degree of the polynomial: 3