Question

Which of the following polynomials are binomials?
(1) $p\left(x\right)=x+1$
(2) $q\left(x\right)=x^3+x$
(3) $r\left(x\right)=\sqrt{2}+x+x^2$
(4) $r\left(u\right)=u+u^2-2$

• A. 1
• B. 3 & 4
• C. 1 & 2
• D. None of these

Answer 1

The correct option is C 1 & 2

Binomial is a polynomial with two terms.
$p\left(x\right)=x+1$, $q\left(x\right)=x^3+x$
are the polynomials in the given options that have only 2 terms. Thus, they are binomials.
$r\left(x\right)=\sqrt{2}+x+x^2$ , $r\left(u\right)=u+u^2-2$
These polynomials have 3 terms, which implies that they are not binomials.