Answer :
Sure! Let's find the degree of the polynomial [tex]\(2x^6 - 7x^2\)[/tex].
1. Understand what the degree of a polynomial is: The degree of a polynomial is the highest power of the variable [tex]\(x\)[/tex] in the polynomial.
2. Identify the terms in the polynomial: The given polynomial is [tex]\(2x^6 - 7x^2\)[/tex]. This polynomial has two terms:
- [tex]\(2x^6\)[/tex]
- [tex]\(-7x^2\)[/tex]
3. Determine the exponents in each term:
- For the term [tex]\(2x^6\)[/tex], the exponent of [tex]\(x\)[/tex] is 6.
- For the term [tex]\(-7x^2\)[/tex], the exponent of [tex]\(x\)[/tex] is 2.
4. Identify the highest exponent: The highest exponent among the terms is 6 (from the term [tex]\(2x^6\)[/tex]).
Therefore, the degree of the polynomial [tex]\(2x^6 - 7x^2\)[/tex] is [tex]\(6\)[/tex].
1. Understand what the degree of a polynomial is: The degree of a polynomial is the highest power of the variable [tex]\(x\)[/tex] in the polynomial.
2. Identify the terms in the polynomial: The given polynomial is [tex]\(2x^6 - 7x^2\)[/tex]. This polynomial has two terms:
- [tex]\(2x^6\)[/tex]
- [tex]\(-7x^2\)[/tex]
3. Determine the exponents in each term:
- For the term [tex]\(2x^6\)[/tex], the exponent of [tex]\(x\)[/tex] is 6.
- For the term [tex]\(-7x^2\)[/tex], the exponent of [tex]\(x\)[/tex] is 2.
4. Identify the highest exponent: The highest exponent among the terms is 6 (from the term [tex]\(2x^6\)[/tex]).
Therefore, the degree of the polynomial [tex]\(2x^6 - 7x^2\)[/tex] is [tex]\(6\)[/tex].
