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.