Four polynomials are shown below:

A. 2 − 2x5 + 2x2
B. 5x3 + 5 − 5x4
C. 3x + 2x5
D. 6x3 − 1

Which of the above polynomials is a 5th degree binomial?

Polynomial A
Polynomial B
Polynomial C
Polynomial D

pls help me

show powers like this:

x^4

now in which expression do you see
x^5 as the highest term ??

isnt it c

I see an x^5 in A and in C

But yes, only C is a binomial.

To determine which of the given polynomials is a 5th degree binomial, we need to understand the properties of a binomial and how to identify the degree of a polynomial.

A binomial is a polynomial with exactly two terms. The degree of a polynomial is found by looking at the highest exponent of its variable.

Let's analyze each given polynomial:

A. 2 - 2x^5 + 2x^2
This polynomial has three terms, so it is not a binomial.
The highest exponent is 5, so the degree of this polynomial is 5.

B. 5x^3 + 5 - 5x^4
This polynomial also has three terms, so it is not a binomial.
The highest exponent is 4, so the degree of this polynomial is 4.

C. 3x + 2x^5
This polynomial only has two terms, so it is a binomial.
The highest exponent is 5, so the degree of this polynomial is 5.

D. 6x^3 - 1
This polynomial has two terms, so it is a binomial.
The highest exponent is 3, so the degree of this polynomial is 3.

So, to answer your question, Polynomial C (3x + 2x^5) is a 5th degree binomial.

ik what it is