Question

Given the general form of a polynomial function:

$P(x) = a_{n} x^{n} + a_{n-1} x^{n-1} + a_{n-2} x^{n-2} + . . . + a_{1} x^{1} + a_{0}$

The leading coefficient is ______.
The degree of the polynomial is ______.
The constant term of the polynomial is ______.

Answer 1

Answer:

The leading coefficient is "a"

The leading degree of the polynomial is "n"

The constant term of the polynomial appears to be "a" again.

Step-by-step explanation:

Answer 2

For this case we have given a polynomial of the form:

$P (x) = a_{n} x ^ {n} + a_ {n-1} x ^ {n-1} + a_ {n-2} x ^ {n-2} +. . . + a_ {1} x ^ {1} + a_ {0} x ^ 0$

So:

x: It is the variable

$a_ {n}, a_ {n-1}, a_ {n-2}, a_ {1}, a_ {0};$ They are the coefficients. Where $a_ {0}$ is called a constant coefficient (or indendent term), and $a_ {n}$is the main coefficient.

n, n-1, n-2,1,0: They are the exponents. where the largest represents the degree of the polynomial.

Answer:

The leading coefficient is$a_ {n}$

The degree of the polynomial is n

The constant term of the polynomial is $a_ {0}$