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) 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 1) 2x2 + 4x2 + 2x + 4x Let's combine the terms having common powers and we get A) 2x2 + 4x2 = 6x2 B) 2x + 4x = 6x After combining, we get 2 terms and is called binomial 2) 5x2 + 9x2 + 5x + 9x Let's combine the terms having common powers and we get A) 5x2 + 9x2 = 14x2 B) 5x + 9x = 14x After combining, we get 2 terms and is called binomial 3) 6x2 + 3x2 + 3x Let's combine the terms having common powers and we get A) 6x2 + 3x2 = 9x2 B) 3x After combining, we get 2 terms and is called binomial 4) 7x2 + 2x2 + 2x Let's combine the terms having common powers and we get A) 7x2 + 2x2 = 9x2 B) 2x After combining, we get 2 terms and is called binomial 5) x2 + x + 1 As we combine terms having common powers, we get the following terms from the above polynomial A) x2 B) x C) 1 As this is now 3 terms it is called trinomial 6) u2 + u + 1 As we combine terms having common powers, we get the following terms from the above polynomial A) u2 B) u C) 1 As this is now 3 terms it is called trinomial 7) 9 + 1 Let's combine the terms having common powers and we get A) 9 + 1 = 10 As this is single term it is called monomial 8) 29 + 2 Let's combine the terms having common powers and we get A) 29 + 2 = 31 As this is single term it is called monomial 9) 5x2 + 5x + 2x Let's combine the terms having common powers and we get A) 5x2 B) 5x + 2x = 7x After combining, we get 2 terms and is called binomial 10) 5x3 + 5x + 3x Let's combine the terms having common powers and we get A) 5x3 B) 5x + 3x = 8x After combining, we get 2 terms and is called binomial 11) 5x3 - 2x + 3 As we combine terms having common powers, we get the following terms from the above polynomial A) 5x3 B) 2x C) 3 As this is now 3 terms it is called trinomial 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 + 3x3 + 2x2 + 2x2 + 1 Let's combine the terms having common powers and we get A) 3x3 + 3x3 = 6x3 B) 2x2 + 2x2 = 4x2 C) 1 As this is now 3 terms it is called trinomial 14) 4x3 + 4x3 + 3x2 + 3x2 + 2 Let's combine the terms having common powers and we get A) 4x3 + 4x3 = 8x3 B) 3x2 + 3x2 = 6x2 C) 2 As this is now 3 terms it is called trinomial 15) 7x3 + 7x3 + 6x2 + 6x2 + 3 Let's combine the terms having common powers and we get A) 7x3 + 7x3 = 14x3 B) 6x2 + 6x2 = 12x2 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