MONOMIALS:
An algebraic expression containing one term only, is called a monomial.
e.g.
5x, 6y
2
, 3x
2
yz, - 9 are all monomials.
BINOMIALS:
An algebraic expression containing 2 terms is called a binomial.
e.g.
-
5x + 9y is a binomial having 2 terms, namely 5x and 9y.
-
2xy – 3 is a binomial having 2 terms, namely, 2xy and – 3.
-
a
2
b – 3b
2
c is a binomial having 2 terms, namely, a
2
b and -3b
2
c.
TRINOMIALS:
An algebraic expression containing 3 terms is called a trinomial.
e.g. (i) x + 2y – 3z is a trinomial having 3 terms, namely x, 2y and – 3.
(ii) z
2
– 2xy + 5 is a trinomial having 3 terms, namely, z
2
, - 2xy and 5.
MULTINOMIAL:
An algebraic expression containing more than 3 terms, is called a multinomial.
e.g. a
3
b
3
+ 3ab
is a multinomial, having 4 terms, namely, a
3
b
3
,
.
POLYNOMIALS:
An algebraic expression in which the variables involved have only nonnegative integral powers, is called a polynomial.
DEGREE OF A POLYNOMIAL IN ONE VARIABLE:
The highest power of the variable in a polynomial of one variable is called the degree of the polynomial.
e.g.
-
5x
3
– 3x
2
+ 4x – 8 is a polynomial of degree 3.
-
6 + 5y
2
– 7y
4
is a polynomial of degree 4.
LINEAR POLYNOMIAL:
A polynomial of degree 1 is a called a linear polynomial.
e.g. (a) 3 + 5x (b) 6 – 2y (c)
+ 7z are all linear polynomials.
QUADRATIC POLYNOMIAL:
A polynomial of degree 2 is called a quadratic polynomial.
e.g. (a) 6x
2
– 5x + 4 and (b) 2y
2
+ 3y – 1 are both quadratic polynomials.
CUBIC POLYNOMIAL:
A polynomial of degree 3 is called a cubic polynomial.
e.g. (a) 6x
3
– 5x
2
+ 2x + 1 (b) z
3
– 3z + 7 are both cubic polynomials.
CONSTANT POLYNOMIAL:
A polynomial having one term consisting of a constant only is a constant polynomial.
The degree of a constant polynomial is 0.
Thus, 6 is a constant polynomial.
DEGREE OF A POLYNOMIAL IN TWO OR MORE VARIABLES:
If a polynomial involves two or more variables, then the sum of the powers of all the variables in each term is taken up and the highest sum so obtained is the degree of the polynomial.
e.g.
-
6x
3
– 2x
2
y + xy
2
– 3x
2
y
2
is a polynomial in x and y, of degree 4.
-
2x
2
y
3
– 3xy
2
+ 5x
3
y
3
is a polynomial in x and y of degree 6.
-
3ab
2
– 4a
is an expression but not a polynomial, as it contains a term in which the sum of the powers of the variables is
, which is not a non-negative integer.
CBSE NCERT Solutions for Class 8 Maths
class 8 maths NCERT solutions Chapter 1: Rational Numbers
class 8 maths NCERT solutions
Chapter 2: Linear Equations in One Variable
class 8 maths NCERT solutions
Chapter 3: Understanding Quadrilaterals
class 8 maths NCERT solutions
Chapter 4: Practical Geometry
class 8 maths NCERT solutions
Chapter 5: Data Handling
class 8 maths NCERT solutions
Chapter 6: Square and Square Roots
class 8 maths NCERT solutions
Chapter 7: Cube and Cube Roots
class 8 maths NCERT solutions
Chapter 8: Comparing Quantities
NCERT Class 8 Maths solution Chapter 9: Algebraic Expressions and Identities
class 8 maths NCERT solutions Chapter 10: Visualizing Solid Shapes
class 8 maths NCERT solutions Chapter 11: Mensuration
class 8 maths NCERT solutions Chapter 12: Exponents and Powers
class 8 maths NCERT solutions Chapter 13: Direct and Inverse Proportions
class 8 maths NCERT solutions Chapter 14: Factorization
class 8 maths NCERT solutions Chapter 15: Introduction to Graphs
class 8 maths NCERT solutions Chapter 16: Playing with Numbers
Notes,worksheet and solved question for Maths class 8
-
class 8 maths notes on chapter Liner equation in one variable
-
class 8 maths notes on chapter algebric expression
-
class 8 maths notes on chapter Mensuration
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class 8 maths notes on chapter Square and square roots
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class 8 maths notes on chapter statistice
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class 8 maths notes on chapter practical Geometry
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class 8 maths notes on chapter commericial maths
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class 8 maths notes on chapter solid shape
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class 8 maths notes on chapter
quadrilaterals
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class 8 maths notes on chapter exponents
-
c
lass 8 maths notes on chapter factorisation
-
class 8 maths notes on chapter inverse proporation
-
class 8 maths notes on chapter cube and cube roots
Check your marks in a chapter which you have complited in school from Physics Wallah chapter wise online test just click on the link given below
chapter wise online test for class 8 maths
