determine the coefficient and the degree of each term in the polynomial 5y^6-2y+3
Let me give you an example;
3x^4 - 5x^3 + 6x^2 + x -4
this polynomial is of degree 4 because that is the largest degree.
The degrees of each term are listed in order: 4, 3, 2, 1, 0
Yes, zero for the -4 because we know it must by -4x^0 (remember x^0 = 1)
The coefficients are just the numbers in front of the variables
3, -5, 6, 1
4 is often called the constant
From this example, can you answer your question?
I will be glad to check your work.
check my answer 5^6-2y + 3
degrees are 6,1,0
coefficient 5,2,,3
To determine the coefficient and the degree of each term in the polynomial 5y^6 - 2y + 3, we can break down the polynomial into its individual terms.
A term in a polynomial consists of a coefficient and a variable raised to a certain power (degree). Let's analyze each term separately:
1. The term 5y^6:
- The coefficient is 5, which is the numerical value in front of the variable term.
- The degree is 6 since the variable y is raised to the power of 6.
2. The term -2y:
- The coefficient is -2, which is the numerical value in front of the variable term.
- The degree is 1 since the variable y is raised to the power of 1.
3. The term 3:
- The coefficient is 3, the numerical value itself since there's no variable in this term.
- The degree is 0 because there is no variable present to raise to any power.
In summary:
1. The coefficient and the degree of the term 5y^6 are 5 and 6, respectively.
2. The coefficient and the degree of the term -2y are -2 and 1, respectively.
3. The coefficient and the degree of the term 3 are 3 and 0, respectively.