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A constant polynomial is a polynomial of degree zero, which means it is a mathematical expression that does not contain any variable terms. It can be represented in the form ( f(x) = c ), where ( c ) is a constant real number. Since it does not vary with the value of ( x ), its graph is a horizontal line across the coordinate plane. Examples include ( f(x) = 5 ) or ( f(x) = -3 ).
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What is the degree of a constant polynomial?
a constant polynomial has a degree zero (0).
Is 3 a polynomial?
It is a numerical constant.
What is the term in a polynomial without a variable?
The term in a polynomial without a variable is called a "constant term." It represents a fixed value and does not change with the variable(s) in the polynomial. For example, in the polynomial (2x^2 + 3x + 5), the constant term is 5.
Is 7 polynomial?
Yes, 7 is considered a polynomial. Specifically, it is a constant polynomial of degree 0, as it can be expressed in the form ( f(x) = 7 ). In general, any constant number qualifies as a polynomial since it can be represented without any variable terms.
Is a polynomial of degree 0 is a constant term?
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.
What is the degree of a constant polynomial?
a constant polynomial has a degree zero (0).
What is a zero degree polynomial called?
a polynomial of degree...............is called a cubic polynomial
Is 3 a polynomial?
It is a numerical constant.
Is a polynomial of degree zero is a constant term true or false?
True. A polynomial of degree zero is defined as a polynomial where the highest degree term has a degree of zero. This means that the polynomial is a constant term, as it does not contain any variables raised to a power greater than zero. Therefore, a polynomial of degree zero is indeed a constant term.
What is the term in a polynomial without a variable?
The term in a polynomial without a variable is called a "constant term." It represents a fixed value and does not change with the variable(s) in the polynomial. For example, in the polynomial (2x^2 + 3x + 5), the constant term is 5.
Is 7 polynomial?
Yes, 7 is considered a polynomial. Specifically, it is a constant polynomial of degree 0, as it can be expressed in the form ( f(x) = 7 ). In general, any constant number qualifies as a polynomial since it can be represented without any variable terms.
Is a polynomial of degree 0 is a constant term?
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.
What the constant factor of a term of polynomial?
coefficient
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.
Why does the constant term of a polynomial written in standard form give you the y intercept of the graph?
In a polynomial written in standard form, the constant term is the value of the polynomial when the input variable (usually (x)) is zero. This means that when you set (x = 0), the polynomial evaluates to the constant term, which corresponds to the point where the graph intersects the y-axis. Therefore, the constant term directly represents the y-intercept of the graph.
Is a polynomial of degree zero a constant term?
Yes.
Is a constant term included in the set of Polynomials?
it can be but it does not have to be to be a polynomial
