Answer :
To determine the degree of a polynomial, you need to identify the term with the highest power of the variable, which in this case is [tex]\(x\)[/tex], that has a non-zero coefficient.
Here's the polynomial we're considering:
[tex]\[ y = 2x^5 - 5x^4 - 30x^3 + 5x^2 + 88x + 60 \][/tex]
Let's look at each term:
1. [tex]\(2x^5\)[/tex]: The exponent here is 5.
2. [tex]\(-5x^4\)[/tex]: The exponent here is 4.
3. [tex]\(-30x^3\)[/tex]: The exponent here is 3.
4. [tex]\(5x^2\)[/tex]: The exponent here is 2.
5. [tex]\(88x\)[/tex]: The exponent here is 1.
6. [tex]\(60\)[/tex]: This is a constant term and can be thought of as [tex]\(60x^0\)[/tex], where the exponent is 0.
The term with the highest exponent is [tex]\(2x^5\)[/tex]. Therefore, the degree of the polynomial is the highest exponent, which is 5.
Here's the polynomial we're considering:
[tex]\[ y = 2x^5 - 5x^4 - 30x^3 + 5x^2 + 88x + 60 \][/tex]
Let's look at each term:
1. [tex]\(2x^5\)[/tex]: The exponent here is 5.
2. [tex]\(-5x^4\)[/tex]: The exponent here is 4.
3. [tex]\(-30x^3\)[/tex]: The exponent here is 3.
4. [tex]\(5x^2\)[/tex]: The exponent here is 2.
5. [tex]\(88x\)[/tex]: The exponent here is 1.
6. [tex]\(60\)[/tex]: This is a constant term and can be thought of as [tex]\(60x^0\)[/tex], where the exponent is 0.
The term with the highest exponent is [tex]\(2x^5\)[/tex]. Therefore, the degree of the polynomial is the highest exponent, which is 5.
