Arithmetic
Additive Identity
Arithmetic Progression
Associative Property
Averages
Brackets
Closure Property
Commutative Property
Conversion of Measurement Units
Cube Root
Decimal
Distributivity of Multiplication over Addition
Divisibility Principles
Equality
Exponents
Factors
Fractions
Fundamental Operations
H.C.F / G.C.D
Integers
L.C.M
Multiples
Multiplicative Identity
Multiplicative Inverse
Numbers
Percentages
Profit and Loss
Ratio and Proportion
Simple Interest
Square Root
Unitary Method
Algebra
Cartesian System
Order Relation
Polynomials
Probability
Standard Identities & their applications
Transpose
Geometry
Basic Geometrical Terms
Circle
Curves
Angles
Define Line, Line Segment and Rays
Non-Collinear Points
Parallelogram
Rectangle
Rhombus
Square
Three dimensional object
Trapezium
Triangle
Quadrilateral
Trigonometry
Trigonometry Ratios
Data-Handling
Arithmetic Mean
Frequency Distribution Table
Graphs
Median
Mode
Range

Videos
Solved Problems
Home >> Polynomials >> Examples

Polynomials can have Coefficients, Terms, Variables and involves Powers of the Variable : 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

Check whether the below are polynomials or not

A) 55
B) 300
C) 2y-3
D) 5y-3 + 2x + 1
E) x + 2/x
F) y + 3/y
G) 3x2 + 2x + 2
H) 4x2 + 4x + 3
A) 55

Yes 55 is a polynomial as one term is allowed in polynomial and this 55 is also a constant




B) 300

Yes 300 is a polynomial as one term is allowed in polynomial and this 300 is also a constant




No 2y-3 is not a polynomial because its power is negative




D) 5y-3 + 2x + 1

No 5y-3 + 2x + 1 is not a polynomial because its power is negative




E) x + 2/x

x + 2
x


x + 2
x
= x + 2x-1


As power of 2x is negative this is not a polynomial




F) y + 3/y

y + 3
y


y + 3
y
= y + 3y-1


As power of 3y is negative this is not a polynomial




G) 3x2 + 2x + 2

yes 3x2 + 2x + 2 is a polynomial because there is no negative power in each term




H) 4x2 + 4x + 3

yes 4x2 + 4x + 3 is a polynomial because there is no negative power in each term



Related Question Examples

  • Find terms, constant term, variables, power and coefficients from the following

    A) 9x2 + 8x + 2
    B) 7x2 + 6x + 2
    C) 9y2 + 8x + 3
    D) 7y2 + 6x + 3
    E) 6y2 + 5x + 2
    F) 2x3 + 3y2 + 2x
  • Check whether the below are polynomials or not

    A) 55
    B) 300
    C) 2y-3
    D) 5y-3 + 2x + 1
    E) x + 2/x
    F) y + 3/y
    G) 3x2 + 2x + 2
    H) 4x2 + 4x + 3
  • Copyright@2022 Algebraden.com (Math, Algebra & Geometry tutorials for school and home education)