Question

Classify each polynomial as a monomial, binomial, or trinomial. Combine like terms first.

x3 + 3x3 + 2x
2x3 + 5x + 3x4 − x
4x − 5x + x − 2
6x2 + 5 − 2x2 − 9

Answer 1

A polynomial that having the single term is called monomial, that having two terms is called binomial while that having three terms is called trinomial,

`x^3+3x^3+2x`

`=4x^3+2x`

Since, it has two terms,

⇒
`x^3+3x^3+2x` is a binomial,

`2x^3 + 5x + 3x^4 - x`

Combine like terms,

`2x^3-3x^4+4x`

It has three terms,

⇒
`2x^3_3x^4+4x` is a trinomial,

`4x-5x+x-2`

Combine like terms,

`-2`

It has only 1 term,

⇒
`4x-5x+x-2` is a monomial,

`6x^2 + 5 - 2x^2 - 9`

`=4x^2-4`

It has 2 terms,

⇒
`6x^2 + 5 - 2x^2 - 9` is a binomial.

Answer 2

Classify each polynomial as a monomial, binomial, or trinomial. Combine like terms first.

We can classify the polynomial according to the number of terms

If we have one term then it is monomial

If we have two terms then it is binomial

If we have three terms then it is trinomial

(1)
`x^3 + 3x^3 + 2x`

`4x^3 + 2x`

We have two terms so it is Binomial

(2)
`2x^3 + 5x + 3x^4 - x`

`2x^3 + 4x + 3x^4`

We have three terms so it is Trinomial

(3)
`4x - 5x + x - 2`

`4x - 5x + x - 2`

-2

We have one term so it is monomial

(4)
`6x^2 + 5 - 2x^2 - 9`

`4x^2 - 4`

We have two terms so it is Binomial