No, a constant cannot be considered a polynomial because it is only a single term. A polynomial is defined as an expression that consists of the variables and coefficients that involves only the operations of subtraction, addition, multiplication, and the non-negative integer exponents.
a polynomial of degree...............is called a cubic polynomial
coefficient
Yes.
Anywhere. Provided it is not zero, and number p can be the leading coefficient of a polynomial. And any number q can be the constant term.
Not in the normal sense but it could be considered a degenerate polynomial of degree 0.
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.
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.
a constant polynomial has a degree zero (0).
a polynomial of degree...............is called a cubic 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.
It is a numerical constant.
Yes, 7 is considered a polynomial. Specifically, it is a constant polynomial of degree 0, since it can be expressed in the form ( f(x) = 7 ), where there are no variables involved. Polynomials can include constants, variables, and their combinations with non-negative integer exponents.
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.
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.
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.
coefficient
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.