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What is the leading coefficient in a polynomial?
It is the number (coefficient) that belongs to the variable of the highest degree in a polynomial.
Addition of polynomial?
addition of coefficient
What is the definition of numerical coefficient?
the numerical factor in a term of polynomial
When this polynomial is simplified what is the coefficient of x2?
To determine the coefficient of ( x^2 ) in a polynomial, you need to simplify the polynomial by combining like terms. Look for all terms that contain ( x^2 ) and sum their coefficients. If you provide the specific polynomial, I can help you find the coefficient of ( x^2 ).
What is the coefficient of velocity?
By itself there is none. A coefficient is the multiplying factor in a polynomial equation.
What is type a polynomial with integer coefficients and a leading coefficient of 1 in the box below?
A polynomial with integer coefficients and a leading coefficient of 1 is called a monic polynomial. An example of such a polynomial is ( f(x) = x^3 - 4x^2 + 6x - 2 ). In this polynomial, all coefficients are integers, and the leading term ( x^3 ) has a coefficient of 1.
What the constant factor of a term of polynomial?
coefficient
Can a decimal be a coefficient in a polynomial equation?
Yes
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 a gcf of a polynomial be larger than the smallest coefficient?
No.
What is coefficient of factor?
The coefficient of a factor in a polynomial is a numerical value that multiplies that factor within the expression. For example, in the polynomial (3x^2 + 5x + 2), the coefficient of the factor (x^2) is 3, while the coefficient of (x) is 5. Coefficients can represent various quantities, such as weights or scaling factors, depending on the context in which the polynomial is used.
Give the degree and the leading coefficient of the polynomial 9x-45x- squared -4x to the third power?
The polynomial can be rewritten as (-4x^3 - 45x^2 + 9x). The degree of the polynomial is 3, which is determined by the highest exponent of (x). The leading coefficient, which is the coefficient of the term with the highest degree, is (-4).
