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Q: Can the leading coefficient of a polynomial function be a fraction?
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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.

The rational roots of a polynomial function F(x) can be written in the form where p is a factor of the constant term of the polynomial and q is a factor of the leading coefficient.?


Where p is a factor of the leading coefficient of the polynomial and q is a factor of the constant term.?

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.

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.

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.

What is the rational zero theorem?

If a polynomial function, written in descending order, has integer coefficients, then any rational zero must be of the form ± p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.

Which polynomial has rational coefficients a leading leading coefficient of 1 and the zeros at 2-3i and 4?

There cannot be such a polynomial. If a polynomial has rational coefficients, then any complex roots must come in conjugate pairs. In this case the conjugate for 2-3i is not a root. Consequently, either (a) the function is not a polynomial, or (b) it does not have rational coefficients, or (c) 2 - 3i is not a root (nor any other complex number), or (d) there are other roots that have not been mentioned. In the last case, the polynomial could have any number of additional (unlisted) roots and is therefore indeterminate.

How do I determine if a function is a power function Power functions must be able to be written as such kxa. Would I compare the function to the format of a power function For ex KEv12kv5?

Identify the degree and leading coefficient of polynomial functions. ... the bird problem, we need to understand a specific type of function. A power ... A power function is a function that can be represented in the form ... Example 3.4.1: Identifying Power Functions ... Comparing Smooth and Continuous Graphs.

The leading coefficient of a cubic polynomial p is 2 and the coefficient of the linear term is 5 and if P 0 equals 7 and P 2 equals 21 what is P 3?

N i g g e r s

Write the polynomial in standard form and identify the leading coefficient.6 + 9t 4 – 5t + t 5?

t^5 +9t^4 -5t +6; 1

What is the leading coefficient of each fungtion?

what is the leading coefficient -3x+8

How do you find zeros when the leading coefficient is one?

The answer depends on the what the leading coefficient is of!