Choose the correct classification of 2x⁴ - 8x⁵ - 2x² + 5.
5th degree polynomial
4th degree polynomial
11th degree polynomial
12th degree polynomial

Solution:

Given 2x⁴ - 8x⁵ - 2x² + 5

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

An example of a polynomial of a single indeterminate x is x² - 4x + 7.

The degree of a polynomial is the highest integral power of the variable(s) of its terms when the polynomial is expressed in its standard form.

It is the sum of exponents of the variables in the term if it has more than one variable. Arranging the polynomial in the descending order of powers, we get

- 8x⁵ + 2x⁴- 2x² + 5

Hence, It is a 5^th degree polynomial.

Choose the correct classification of 2x⁴ - 8x⁵ - 2x² + 5.

Summary:

The correct classification of 2x⁴ - 8x⁵ - 2x² + 5 is 5^th degree polynomial.