Question

A polynomial has a leading coefficient of -4 and is a sixth-degree monomial. Which of the following expressions represents this polynomial?

A) -4x^6
B) -4x^5
C) -4x^7
D) -4x^4

Answer 1

The polynomial with a leading coefficient of -4 and is a sixth-degree monomial is -4x^6.

Step-by-step explanation:

The expression that represents the polynomial with a leading coefficient of -4 and is a sixth-degree monomial is Option A) -4x^6.

A polynomial is an algebraic expression consisting of terms with variables raised to different powers. The degree of a polynomial is the highest exponent of its variable term.

In this case, the leading coefficient is -4, which means that the coefficient of the term with the highest degree is -4. Since the polynomial is a monomial of degree 6, it means that the variable term raised to the sixth power is the only term in the polynomial.

Therefore, the correct expression is -4x^6.