Question

Given the polynomial, 8x^2 + 3x - 5, identify the following:

A) number of terms
B) list each term
C) degree of the polynomial
D) name of the polynomial

Answer 1

Part A) The polynomial has three terms

Part B) The terms are
`8x^(2) , 3x\ and\ -5`

Part C) Is a 2nd degree polynomial

Part D) The name of the polynomial is a 2nd degree trinomial

Explanation:

we know that

Polynomials can be classified two different ways - by the number of terms and by their degree.

we have

`8x^(2) +3x-5`

The polynomial has three terms

The terms are

`8x^(2) , 3x\ and\ -5`

therefore

The polynomial is a trinomial

The degree of the polynomial is found by looking at the term with the highest exponent on its variable(s).

The term is
`8x^(2)`

The highest exponent is the 2 so this is a 2nd degree polynomial

therefore

The name of the polynomial is a 2nd degree trinomial