Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms. 5x+2x^4-4

2x^4 + 5x - 4

Degree 4

Trinomial

Step-by-step explanation:

Given polynomial: 5x + 2x^4 - 4

Standard form is descending order of degree.

The degree of a term is the sum of the exponents of all the variables in the term.

The term 5x has a single variable, x. Its exponent is 1 since x is the same as x^1. The degree of the term 5x is 1.

The term 2x^4 has only variable x raised to the 4th power. The degree of the term 2x^4 is 4.

The term - 4 has no x. It is as if it is - 4x^0, which means its degree of 0. A term in a polynomial that is just a number (no variables) has degree 0.

Now we write the polynomial in standard form with descending degree of terms.

2x^4 + 5x - 4

The degree of a polynomial is the same as the degree of the term with highest degree. The highest degree of all terms is 4, so the polynomial has degree 4.

This polynomial has 3 terms, so it is called a trinomial.