Question

1. which of the following expressions is a binomial?

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

Explanation:

Step1: Define a binomial

A binomial is a polynomial with exactly 2 terms.

Step2: Analyze option a

$3x^{4}+4x^{3}-1$ has 3 terms, not a binomial.

Step3: Analyze option b

$5x+3x^{2}-7$ has 3 terms, not a binomial.

Step4: Analyze option c

$x^{3}+2x^{2}-x$ has 3 terms, not a binomial.

Step5: Analyze option d

$4x^{2}-9$ has 2 terms, so it is a binomial.

Answer:

d. $4x^{2}-9$