Question

Identify the polynomial as a monomial, a binomial, or a trinomial. Give the degree of the polynomial. 12x⁶ Is the polynomial a monomial, binomial, or trinomial? clear all Skill builder Final check

Answer 1

The given expression, 12x⁶, is a monomial because it consists of only one term. It is of the 6th degree, determined by the highest exponent of the variable x.

Step-by-step explanation:

The expression 12x⁶ is a polynomial. To classify it, we need to look at the number of terms it contains. Since it has only one term (12x⁶), it is called a monomial. Terms in a polynomial are usually separated by a plus (+) or minus (-) sign. In this case, there is no additional term, therefore, it is not a binomial or a trinomial.

The degree of a polynomial is determined by the highest exponent of the variable in any term. In the monomial 12x⁶, the highest exponent is 6, which means this polynomial is of the 6th degree.

While the expression provided in the question (x²+ +1.2 x 10-2x -6.0 × 10⁻³ = 0) has some typographical errors and is not clear, it suggests talking about a quadratic equation, which can be solved using the quadratic formula ax² + bx + c = 0. This is irrelevant to identifying the polynomial 12x⁶, which we've established is a monomial of the 6th degree.