The binomial in an algebraic expression refers to the part that consists of two terms connected by an addition or subtraction operation. Let's analyze the options given:
a. x2: This is a monomial, not a binomial, because it only has one term.
b. x2 - 4x 2: This is not a properly formatted expression, as there seems to be a typo in the term "4x 2". It should be written as "4x^2". Without the correct formatting, it is difficult to determine if it is a binomial or not.
c. x2 - 4: This is a binomial because it consists of two terms, x^2 and -4, connected by a subtraction operation.
d. 2x2 3x - 1 y: This expression is not properly formatted, as it lacks appropriate operators to separate the terms. Without the correct formatting, it is difficult to determine if it is a binomial or not.
Based on the given options, the only correct answer is:
c. x2 - 4
It is a binomial because it consists of two terms, x^2 and -4, connected by a subtraction operation.
Hope this helps all you Penn Foster guys out there!