Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
To determine the degree of the polynomial \( 2 - 6x + 7x^2 + 3x^3 - 3x^4 \), follow these steps:
1. Identify each term in the polynomial and their respective powers of \( x \):
- The term \( 2 \) has \( x^0 \) (since \( x^0 = 1 \)).
- The term \( -6x \) has \( x^1 \).
- The term \( 7x^2 \) has \( x^2 \).
- The term \( 3x^3 \) has \( x^3 \).
- The term \( -3x^4 \) has \( x^4 \).
2. List the exponents of \( x \) for each term:
- The exponents are \( 0, 1, 2, 3, \) and \( 4 \).
3. Determine the highest exponent:
- Among the exponents \( 0, 1, 2, 3, \) and \( 4 \), the highest is \( 4 \).
4. State the degree of the polynomial:
- The degree of a polynomial is defined as the highest power of \( x \) with a non-zero coefficient. Here, the term with the highest power is \( -3x^4 \), and its exponent is \( 4 \).
Therefore, the degree of the polynomial [tex]\( 2 - 6x + 7x^2 + 3x^3 - 3x^4 \)[/tex] is [tex]\( 4 \)[/tex].
1. Identify each term in the polynomial and their respective powers of \( x \):
- The term \( 2 \) has \( x^0 \) (since \( x^0 = 1 \)).
- The term \( -6x \) has \( x^1 \).
- The term \( 7x^2 \) has \( x^2 \).
- The term \( 3x^3 \) has \( x^3 \).
- The term \( -3x^4 \) has \( x^4 \).
2. List the exponents of \( x \) for each term:
- The exponents are \( 0, 1, 2, 3, \) and \( 4 \).
3. Determine the highest exponent:
- Among the exponents \( 0, 1, 2, 3, \) and \( 4 \), the highest is \( 4 \).
4. State the degree of the polynomial:
- The degree of a polynomial is defined as the highest power of \( x \) with a non-zero coefficient. Here, the term with the highest power is \( -3x^4 \), and its exponent is \( 4 \).
Therefore, the degree of the polynomial [tex]\( 2 - 6x + 7x^2 + 3x^3 - 3x^4 \)[/tex] is [tex]\( 4 \)[/tex].
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.