Question

which of the following expressions is a binomial?
a. $5x + 3x^2 - 7$
b. $3x^4 + 4x^3 - 1$
c. $4x^2 - 9$
d. $x^3 + 2x^2 - x$

Explanation:

Step1: Define a binomial

A binomial is a polynomial with exactly 2 distinct terms.

Step2: Analyze option a

$5x + 3x^2 - 7$ has 3 terms: $5x$, $3x^2$, $-7$.

Step3: Analyze option b

$3x^4 + 4x^3 - 1$ has 3 terms: $3x^4$, $4x^3$, $-1$.

Step4: Analyze option c

$4x^2 - 9$ has 2 terms: $4x^2$, $-9$.

Step5: Analyze option d

$x^3 + 2x^2 - x$ has 3 terms: $x^3$, $2x^2$, $-x$.

Answer:

c. $4x^2 - 9$