TYPES OF ALGEBRAIC EXPRESSIONS

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

1. class 8 maths notes on chapter Liner equation in one variable
2. class 8 maths notes on chapter algebric expression
3. class 8 maths notes on chapter Mensuration
4. class 8 maths notes on chapter Square and square roots
5. class 8 maths notes on chapter statistice
6. class 8 maths notes on chapter practical Geometry
7. class 8 maths notes on chapter commericial maths
8. class 8 maths notes on chapter solid shape
9. class 8 maths notes on chapter quadrilaterals
10. class 8 maths notes on chapter exponents
11. c lass 8 maths notes on chapter factorisation
12. class 8 maths notes on chapter inverse proporation
13. class 8 maths notes on chapter cube and cube roots

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