Question

1. which of the following expressions is a binomial?

a. $4x^2 - 9$
b. $2x^4 + 4x^7 - 1$
c. $5x + 2y^3 - 7$
d. $x^3 + 2x^5 - x$

Explanation:

A binomial is a polynomial with exactly two distinct terms, separated by addition or subtraction signs. We analyze each option:

• Option a: Has two terms ($4x^2$ and $-9$), so it is a binomial.
• Option b: Has three terms ($2x^4$, $4x^7$, $-1$), so it is a trinomial.
• Option c: Has three terms ($5x$, $2y^2$, $-7$), so it is a trinomial.
• Option d: Has three terms ($x^3$, $2x^5$, $-x$), so it is a trinomial.

Answer:

a. $4x^2 - 9$