Question

Which of the following statements correctly describes the expression below based on its degree and number of terms?

3x^4 - 7x^2 + 11


The expression has four terms and a degree of 6.

The expression is a trinomial with a degree of 6.

The expression is a trinomial with a degree of 4.

The expression has four terms and a degree of 4.

Answer 1

The expression is a trinomial with a degree of 4.

Step-by-step explanation

A simplified polynomial with three terms is called a trinomial.

The given polynomial is

`3x^4 - 7x^2 + 11`

This is in the simplest form and has three terms.

The polynomial is also in standard form.

Thus the terms are in descending powers of x.

The exponent of the first term is 4.

This is called the degree of the polynomial.