Four polynomials are shown below:

A3 − 7x5 + x2
B5x3 + 5 − 3x
C3x + 2x3 − x2 + 6 + 2x
D3x3 − 5 + 2x5 + x + 2x2

Which of the above polynomials is a 5th degree trinomial? (1 point)

Polynomial A Polynomial B Polynomial C Polynomial D

Verified Answer :

The degree of a polynomial is the value of the highest exponent a variable is raised to (i.e., the degree of the equation \(y=x^{2}\) is 2, since the highest exponent of a variable is 2. 

If we apply this concept to your list of polynomials, we see that polynomial A and polynomial D both have \(x^{5}\) terms, so they are both fifth-degree polynomials. However, your answer must also be a trinomial (a polynomial with three terms.) If we look at polynomials A and D, we see that only polynomial A has three terms, so that must be the answer!

Let me know if you have any questions :)

Answer:

Polynomial D

Step-by-step explanation:

D. 3x3 − 5 + 2x5 + x + 2x2