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Yes, a polynomial of degree 0 is a constant term. In mathematical terms, a polynomial is defined as a sum of terms consisting of a variable raised to a non-negative integer power multiplied by coefficients. Since a degree 0 polynomial has no variable component, it is simply a constant value.
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What is the degree of a constant polynomial?
a constant polynomial has a degree zero (0).
What is the degree of the polynomial 7x plus 5?
The degree of the polynomial (7x + 5) is 1. This is because the highest exponent of the variable (x) in the expression is 1. The term (7x) is the only term that contributes to the degree, while (5) is a constant term with a degree of 0.
What kind of polynomial is -3-4?
The expression (-3 - 4) simplifies to (-7), which is a constant. A constant can be considered a polynomial of degree 0, as it does not contain any variables. Therefore, (-3 - 4) represents a polynomial of degree 0.
How do you identify the degree on a polynomial?
The degree of a polynomial is identified by determining the highest exponent of the variable in the polynomial's expression. For example, in the polynomial (2x^3 + 4x^2 - x + 5), the highest exponent is 3, so the degree is 3. If the polynomial is a constant (like 5), its degree is 0, and if it's the zero polynomial, it's often considered to have no degree.
What is the coefficient of the term of degree 1 in the polynomial below 5x2 plus 7x10-4x4 plus 9x-2?
To find the coefficient of the term of degree 1 in the polynomial (5x^2 + 7x^{10} - 4x^4 + 9x^{-2}), we look for the term that includes (x^1). In this polynomial, there is no (x^1) term present, so the coefficient of the term of degree 1 is (0).
What is the degree of a constant polynomial?
a constant polynomial has a degree zero (0).
How can you find a degree in a polynomial?
The degree of a polynomial is the highest degree of its terms. The degree of a term is the sum of the exponents of the variables that appear in it.7x2y2 + 4x2 + 5y + 13 is a polynomial with four terms. The first term has a degree of 4, the second term has a degree of 2, the third term has a degree of 1 and the fourth term has a degree of 0. The polynomial has a degree of 4.
Degree of a terms of polynomial?
The degree of a polynomial is the highest degree of its terms. The degree of a term is the sum of the exponents of the variables that appear in it.For example, the polynomial 8x2y3 + 5x - 10 has three terms. The first term has a degree of 5, the second term has a degree of 1, and the last term has a degree of 0. Therefore, the polynomial is degree five.
What is the polynomial of degree 0?
A polynomial of degree 0 is a polynomial without any variables, such as 9.
How do you identify the degree on a polynomial?
The degree of a polynomial is identified by determining the highest exponent of the variable in the polynomial's expression. For example, in the polynomial (2x^3 + 4x^2 - x + 5), the highest exponent is 3, so the degree is 3. If the polynomial is a constant (like 5), its degree is 0, and if it's the zero polynomial, it's often considered to have no degree.
How do you find the degree of polynomials?
First look at the degree of each term: this is the power of the variable. The highest such number, from all the terms in the polynomial is the degree of the polynomial. Thus x2 + 1/7*x + 3 has degree 2. x + 7 - 2x3 + 0.8x5 has degree 5.
What degree is a polynomial?
The degree of a polynomial is the highest degree of its terms. The degree of a term is the sum of the exponents of the variables that appear in it.
A polynomial of degree zero is a constant term?
Anything to the power of 0 is 1 (except 0 for some strange reason), so yes.(a+b)0= 1 3(a+b)0= 3 (3a+3b)0= 1
What is the coefficient of the term of degree 1 in the polynomial below 5x2 plus 7x10-4x4 plus 9x-2?
To find the coefficient of the term of degree 1 in the polynomial (5x^2 + 7x^{10} - 4x^4 + 9x^{-2}), we look for the term that includes (x^1). In this polynomial, there is no (x^1) term present, so the coefficient of the term of degree 1 is (0).
What is the remainder when x3 x2 5x 6 is divided by x 2?
To find the remainder when the polynomial ( x^3 + x^2 + 5x + 6 ) is divided by ( x^2 ), we can use polynomial long division or simply evaluate the polynomial at the roots of ( x^2 = 0 ), which are ( x = 0 ) and ( x = 0 ). The remainder will be a polynomial of degree less than 2, in the form ( ax + b ). Substituting ( x = 0 ) into the original polynomial gives ( 6 ) for the constant term, and substituting gives the linear term ( 5 \cdot 0 = 0 ). Thus, the remainder is ( 5x + 6 ).
How is the degree of a simplified polynomial found?
The degree of a polynomial is equal to the highest degree of its terms. In the case that there is no exponent, the degree is 1. If there is no variable, the degree is 0.
What is the smallest degree a polynomial can have?
The smallest is 0: the polynomial p(x) = 3, for example.
