Question

Classify the polynomial as constant, linear, quadratic, cubic, or quartic, anddetermine the leading term, the leading coefficient, and the degree of thepolynomial.g(x) = - 2x^4 - 6

Answer 1

Given:

`g(x)=-2x^4-6`

To classify: The polynomial name, degree, leading term, and leading coefficient

Step-by-step explanation:

Since the degree of the polynomial is the highest or the greatest power of a variable in a polynomial equation.

Here, 4 is the greatest power of a variable x.

So, the degree of the polynomial is 4.

As we know,

The leading term is the term containing the highest power of the variable.

So, the leading term is,

`-2x^4`

Since the coefficient of the term of the highest degree in a given polynomial is -2.

So, the leading coefficient is -2.

Since the degree of the polynomial is 4.

So, the given polynomial is a quartic polynomial.

Final answer: Option C. Quartic polynomial.