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Can the leading coefficient of a polynomial function be a fraction?
Yes, the leading coefficient of a polynomial function can be a fraction. A polynomial is defined as a sum of terms, each consisting of a coefficient (which can be any real number, including fractions) multiplied by a variable raised to a non-negative integer power. Thus, the leading coefficient, which is the coefficient of the term with the highest degree, can indeed be a fraction.
Can the exponents in a polynomial function be negative?
No. It would not be a polynomial function then.
Is -4x a polynomial?
Yes, -4x is a polynomial. A polynomial is an expression that consists of variables raised to non-negative integer powers, multiplied by coefficients. In this case, -4 is the coefficient and x is the variable raised to the first power, which meets the criteria for a polynomial. Thus, -4x is a linear polynomial.
When does the graph of a line go down to the right?
Amongst polynomial graphs, it is when the coefficient of the highest power of the variable (x) is negative.
How do you find Polynomial?
A polynomial is a sum of a finite number of terms in which each term is of the form a*Xn where a is a coefficient, X is a variable and n is a non-negative integer.a may be integer, rations, real or complex;X may be a numerical variable or a matrix.
Can the exponents in a polynomial function be negative?
No. It would not be a polynomial function then.
If the coefficient of the expression axn is negative and the exponent is positive will the expression be a polynomial?
true
What is a possible leading coefficient and degree for a polynomial starting in quadrant 3 and ending in quadrant 4?
Leading coefficient: Negative. Order: Any even integer.
Is -4x a polynomial?
Yes, -4x is a polynomial. A polynomial is an expression that consists of variables raised to non-negative integer powers, multiplied by coefficients. In this case, -4 is the coefficient and x is the variable raised to the first power, which meets the criteria for a polynomial. Thus, -4x is a linear polynomial.
When does the graph of a line go down to the right?
Amongst polynomial graphs, it is when the coefficient of the highest power of the variable (x) is negative.
When is a function considered polynomial function?
A polynomial function of a variable,x, can be written as a sum of non-negative integer powers of x. For example, f(x) = 5x5 + 27x2 - 37/3 x + 2.36.
If the coefficient of the expression axn is a fraction and the exponent is positive will the expression be a polynomial?
Not necessarily. Every exponent in the exponent must be a non-negative integer. This is not what you have specified. For example, if n = 3.5, it is not a term in a polynomial expression.
What is the number in front of the term with the highest degree in a polynomial?
It is the Coefficient. It only refers to the given term that it is front. e.g. 2x^2 - 3x + 1 The '2' in front of 'x^2' only refers to 'x^2'. The '-3' in front of 'x' is the coefficient of '-3' The '1' is a constant.
When the zeros of a polynomial function are 1 divided by2 and negative 1 what is the function?
Any multiple of X^2+X/2-1/2
Can a coefficient of a variable be negative?
Yes, a coefficient of a variable can be negative.
How do you find Polynomial?
A polynomial is a sum of a finite number of terms in which each term is of the form a*Xn where a is a coefficient, X is a variable and n is a non-negative integer.a may be integer, rations, real or complex;X may be a numerical variable or a matrix.
What are examples of polynomial terms?
Polynomial terms are expressions that consist of a coefficient and a variable raised to a non-negative integer exponent. Examples include (3x^2), (-5y^3), and (7z) (which can be considered as (7z^1)). A single constant, like (4), is also a polynomial term since it can be viewed as (4x^0).
