Question

Given the polynomial, identify the coefficients and degree of each term:−8x−2x3−7x2+3−8x4 First term:degree= coefficient = Second term:degree= coefficient = Third term:degree= coefficient = Fourth term:degree= coefficient = Fifth term:degree= coefficient = Note: make sure that you understand the terms "leading coefficient" and "leading term"!What is the leading coefficient? What is the degree of the leading term? What is the degree of the polynomial? Submit QuestionQuestion 1

Answer 1

From the problem, the given polynomial is :

`-8x-2x^3-7x^2+3-8x^4`

Now you can determine the first term up to fifth term.

Coefficients are numbers attached to the variables.

First term : -8x

The degree is 1 and the coefficient is -8

Second term : -2x^3

The degree is 3 and the coefficient is -2

Third term : -7x^2

The degree is 2 and the coefficient is -7

Fourth term : 3

The degree is 0 and the coefficient is 3

Fifth term : 3

The degree is 4 and the coefficient is -8

Leading term is the term with the highest degree, in this case, the leading term is -8x^4

Leading coefficient is the coefficient of the leading term,

so the leading coefficient is -8

The degree of the leading term is 4

The degree of the polynomial depends on the degree of the leading term,

therefore, the degree is 4