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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
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