Question

Explain why the expression 7x + 5xy2 – 2x is a binomial when it is simplified.

Answer 1

A binomial expression has two terms, with at least one variable or constant, and one plus (+) or minus (−) sign. Examples of binomials include:

x + 2

7x − 3y

xy2z/2 + 8

But note that 5x − 3x is not a binomial, because it simplifies to 2x.

A trinomial expression has three terms, with at least one variable or constant, and two plus (+) or minus (−) signs. Examples of trinomials include:

ax + y − 7

x + 2y + z

xy2z/2 − z + 8

Note that x3 − 15 + 8x3 is not a trinomial. It is really a binomial, since it can be simplified to: 9x3 − 15

Answer 2

thx!

Answer 3

you're welcome!