Question

Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any of these three categories?

$x+y$

$1000$

$x+x^2+x^3+x^4$

$7+y+5x$

$2y-3y^2$

$2y-3y^2+4y^3$

$5x-4y+3xy$

$4z-15z^2$

$ab+bc+cd+da$

$pqr$

$p^{2}q+p{q}^2$

$2p+2q$

• A. Monomials: $1000,pqr$
  
• B. Binomials: $x+y,2y3y^2,4z15z^2,p^{2}q+p{q}^2,2p+2q$
• C. Trinomials: $7+y+5x,2y3y^2+4y^3,5x4y+3xy$
• D. Polynomials that do not fit in these categories: $x+x^2+x^3+x^4,ab+bc+cd+da$

Answer 1

Answer: (A), (B), (C), (D)

A polynomial which has only one term is called a Monomial.

A polynomial which contain two terms is known a Binomial.

A polynomial which contain three terms is known a Trinomial.

The correct options are

A Monomials:

$1000,pqr$
B Binomials:

$x+y,p^{2}q+p{q}^2,2p+2q,2y-3y^2,4z-15z^2$
C Trinomials:

$7+y+5x,2y-3y^2+4y^3,5x-4y+3xy$
D Polynomials that do not fit in these categories:

$x+x^2+x^3+x^4,ab+bc+cd+da$