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Home >> Polynomials >> Types of Polynomials >> Examples

Types of Polynomials - Zero, Monomial, Binomial, Trinomial : Solved Examples

Algebraic Expression Algebraic Equation Ordering of Polynomials Types of Polynomials Addition of Polynomials
Subtraction of Polynomials Multiplication of Polynomials Division of Polynomials Types of Degree / Powers in Polynomials Difference between Polynomials of Integers & Rationals
Find Value of Polynomial Find Zero of Polynomial Remainder Theorem in Polynomial Linear Equations Quadratic Equation
Factoring of Quadratic Polynomials

In each of the following write which polynomials are monomials, binomials, trinomials

1) 2x + 4x
2) 5x + 9x
3) 6x2 + 3x
4) 7x2 + 2x
5) x2
6) u2
7) 9
8) 29
9) 5x2 + 5x
10) 5x3 + 5x
11) 5x3 - 2x
12) 3x3 + 2x + 1
13) 3x3 + 2x2 + 1
14) 4x3 + 3x2 + 2
15) 7x3 + 6x2 + 3

1) 2x + 4x
Let's combine the above polynomial and we get
2x + 4x = 6x

As 6x is a single term this is monomial



2) 5x + 9x
Let's combine the above polynomial and we get
5x + 9x = 14x

As 14x is a single term this is monomial




3) 6x2 + 3x
As we combine terms having common powers, we get the following terms from the above polynomial

A) 6x2
B) 3x

As this is now 2 terms it is called binomial




4) 7x2 + 2x
As we combine terms having common powers, we get the following terms from the above polynomial

A) 7x2
B) 2x

As this is now 2 terms it is called binomial




5) x2
As x2 is single term it is called monomial




6) u2
As u2 is single term it is called monomial




7) 9
As 9 is is single term it is called monomial




8) 29
As 29 is is single term it is called monomial




9) 5x2 + 5x
As we combine terms having common powers, we get the following terms from the above polynomial

A) 5x2
B) 5x

As this is now 2 terms it is called binomial




10) 5x3 + 5x
As we combine terms having common powers, we get the following terms from the above polynomial

A) 5x3
B) 5x

As this is now 2 terms it is called binomial




11) 5x3 - 2x
As we combine terms having common powers, we get the following terms from the above polynomial

A) 5x3
B) 2x

As this is now 2 terms it is called binomial




12) 3x3 + 2x + 1
As we combine terms having common powers, we get the following terms from the above polynomial

A) 3x3
B) 2x
C) 1

As this is now 3 terms it is called trinomial




13) 3x3 + 2x2 + 1
As we combine terms having common powers, we get the following terms from the above polynomial

A) 3x3
B) 2x2
C) 1

As this is now 3 terms it is called trinomial




14) 4x3 + 3x2 + 2
As we combine terms having common powers, we get the following terms from the above polynomial

A) 4x3
B) 3x2
C) 2


As this is now 3 terms it is called trinomial




15) 7x3 + 6x2 + 3
As we combine terms having common powers, we get the following terms from the above polynomial

A) 7x3
B) 6x2
C) 3

As this is now 3 terms it is called trinomial

Related Question Examples

  • In each of the following write which polynomials are monomials, binomials, trinomials

    1) 2x + 4x
    2) 5x + 9x
    3) 6x2 + 3x
    4) 7x2 + 2x
    5) x2
    6) u2
    7) 9
    8) 29
    9) 5x2 + 5x
    10) 5x3 + 5x
    11) 5x3 - 2x
    12) 3x3 + 2x + 1
    13) 3x3 + 2x2 + 1
    14) 4x3 + 3x2 + 2
    15) 7x3 + 6x2 + 3
  • In each of the following write which polynomials are monomials, binomials, trinomials

    1) 2x2 + 4x2 + 2x + 4x
    2) 5x2 + 9x2 + 5x + 9x
    3) 6x2 + 3x2 + 3x
    4) 7x2 + 2x2 + 2x
    5) x2 + x + 1
    6) u2 + u + 1
    7) 9 + 1
    8) 29 + 2
    9) 5x2 + 5x + 2x
    10) 5x3 + 5x + 3x
    11) 5x3 - 2x + 3
    12) 3x3 + 2x + 1
    13) 3x3 + 3x3 + 2x2 + 2x2 + 1
    14) 4x3 + 4x3 + 3x2 + 3x2 + 2
    15) 7x3 + 7x3 + 6x2 + 6x2 + 3
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