Identify the degree of each term of the polynormial and the degree of the polynormial.
-4x^3+2x^2+7x+1
What is the degree of :
the first term
the second term
the third term
the fourth term
the polynomial
Terms are separated by + and - signs
The degree of the term is the sum of the exponents of the variables -- in this case, the power of x
I think you can manage from here.
To identify the degree of each term of the polynomial -4x^3+2x^2+7x+1, we need to determine the exponent of the variable in each term.
1. The first term is -4x^3. The degree of -4x^3 is 3 because the exponent of x is 3.
2. The second term is 2x^2. The degree of 2x^2 is 2 because the exponent of x is 2.
3. The third term is 7x. The degree of 7x is 1 because the exponent of x is 1.
4. The fourth term is 1. Since there is no variable in the term, we can consider it as x^0. The degree of 1 (or x^0) is 0 because the exponent of x is 0.
5. To find the degree of the polynomial, we need to identify the term with the highest degree. In this case, the highest degree is 3 (from the first term: -4x^3). Therefore, the degree of the polynomial is 3.
So, to summarize:
- The degree of the first term (-4x^3) is 3.
- The degree of the second term (2x^2) is 2.
- The degree of the third term (7x) is 1.
- The degree of the fourth term (1 or x^0) is 0.
- The degree of the polynomial (-4x^3+2x^2+7x+1) is 3.