Answer:
Part A) The polynomial has three terms
Part B) The terms are [tex]8x^{2} , 3x\ and\ -5[/tex]
Part C) Is a 2nd degree polynomial
Part D) The name of the polynomial is a 2nd degree trinomial
Step-by-step explanation:
we know that
Polynomials can be classified two different ways - by the number of terms and by their degree.
we have
[tex]8x^{2} +3x-5[/tex]
The polynomial has three terms
The terms are
[tex]8x^{2} , 3x\ and\ -5[/tex]
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 [tex]8x^{2}[/tex]
The highest exponent is the 2 so this is a 2nd degree polynomial
therefore
The name of the polynomial is a 2nd degree trinomial