Yes.
a polynomial of degree...............is called a cubic polynomial
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.
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.
If there aren't any variables, the degree is zero.
5
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.
a constant polynomial has a degree zero (0).
a polynomial of degree...............is called a cubic polynomial
Degree zero refers to mathematical objects or functions that have no non-zero terms or components. In the context of polynomials, a degree zero polynomial is simply a constant term. In linear algebra, a vector space can have elements with degree zero, such as the zero vector.
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.
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.
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.
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.
The degree is zero.
Yes.
A linear polynomial typically has one term, which is the highest degree term, expressed in the form ( ax + b ), where ( a ) and ( b ) are constants, and ( x ) is the variable. However, it can also be represented with three terms, such as ( ax + b + 0c ), where the third term is effectively zero and does not change the polynomial. In general, a linear polynomial is defined by its degree (1), not the number of terms.
That degree is zero.