Which of the following polynomials are binomials? (1) p(x)=x+1 (2) q(x)=x^3+x (3) r(x)=sqrt2+x+x^2 (4) r(u)=u+u^2−2

Tyrell Singleton

Tyrell Singleton

Answered question

2023-02-17

Which of the following polynomials are binomials?
(1) p(x)=x+1
(2) q(x)=x^3+x
(3) r(x)=sqrt2+x+x^2
(4) r(u)=u+u^2−2

Answer & Explanation

Van Middleton

Van Middleton

Beginner2023-02-18Added 3 answers

A polynomial with two terms is called a binomial.
p(x)=x+1, In the list of possibilities, the polynomials with just two terms are q(x)=x^3+x. They are binomials.
r(x)=sqrt2+x+x^2 , r(u)=u+u^2−2
The fact that these polynomials contain three terms suggests that they are not binomials.

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