RD Sharma - Mathematics

6. Algebraic Expressions and Identities

1. Rational Numbers
2. Powers
3. Squares and Square Roots
4. Cubes and Cube Roots
5. Playing with Numbers
6. Algebraic Expressions and Identities
7. Factorization
8. Division of Algebraic Expressions
9. Linear Equation in One Variable
10. Direct and Inverse Variable
11. Time and Work
12. Percentage
13. Profit, Loss, Discount and Value Added Tax (VAT)
Compound Interest
15. Understanding Shapes-I (Polygons)
16. Understanding Shapes-II (Quadrilaterals)
17. Understanding Shapes-III (Special Types of Quadrilaterales)
18. Practical Geometry (Constructions)
19. Visualising Shapes
20. Mensuration-I (Area of a Trapezium and a Polygon)
21. Mensuration-II (Volumes and Surface Areas of a Cuboid and a Cube)
22. Mensuration-III (Surface Area and Volume of a Right Circular Cylinder
23. Data Handling-I (Classification Representation of Data as Histograms)
24. Data Handling-II (Graphical Representation of Data as Pie Charts
25. Data Handling-III (Pictorial Representation of Data as Pie Charts
26. Data Handling-IV (Probability)
27. Introduction to Graphs

Exercise 6.1

Exercise 6.2

Exercise 6.3

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33

Exercise 6.4

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Exercise 6.5

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32

Exercise 6.6

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Exercise 6.7

Q. 24.4( 13 Votes )

Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any category?

(i) x+y

(ii) 1000

(iii) x+x²+x³+x⁴

(iv)7+a+5b

(v) 2b-3b²

(vi) 2y-3y²+4y³

(vii) 5x-4y+3x

(viii) 4a-15a²

(ix) xy+yz+zt+tx

(x) pqr

(xi) p²q+pq²

(xii) 2p+2q

Class 8th RD Sharma - Mathematics 6. Algebraic Expressions and Identities

Answer :

(i) x+y

This expression contains two terms x and y

So, it is called ‘Binomial’

It contains one term 1000

So, it is called monomial

(iii) x+x²+x³+x⁴

It contains four terms

So, it is not a monomial, binomial and trinomial

It contains three terms

So, it is called trinomial

It contains two terms

So, it is called binomial

(vi) 2y-3y²+4y³

It contains three terms

So, it is called trinomial

8x – 4y

It contains two terms

So, it is called binomial

(viii) 4a-15a²

It contains two terms

So, it is called binomial

(ix) xy+yz+zt+tx

It contains four terms

So, it is not a monomial, binomial and trinomial

It contains one term

So, it is called monomial

It contains two terms

So, it is called binomial

It contains two terms

So, it is called monomial

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

PREVIOUSIndetify the terms, their coeffcients for each of the following expressions.(i) (ii) (iii) (iv) (v) (vi) NEXTAdd the following algebraic expressions:(i) (ii) (iii) (iv)(v) (vi)

Related Videos

Division of Algebraic Expressions36 mins

How to Use Algebraic Identities40 mins

Genius Quiz | Algebraic Expressions and Identities30 mins

Algebric Expressions and Identities45 mins

Operations on Algebraic Expressions51 mins

Division of Algebraic ExpressionsFREE Class

Multiplication of Algebraic Expression40 mins

Champ Quiz | Division of Polynomials33 mins

Algebraic Identities - Mark your Weak Areas41 mins

Foundation | Cracking Previous Year IMO Qs on Algebraic Expressions43 mins

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

view all courses

RELATED QUESTIONS :

(3q + 7p² – 2r³ + 4) – (4p² – 2q + 7r³ – 3) = ?

RS Aggarwal - Mathematics

Fill in the blanks to make the statements true:

The product of two polynomials is a ………. .

NCERT - Mathematics Exemplar

If x = 10, then find the value of (4x² + 20x + 25).

RS Aggarwal - Mathematics

(2x² + 3x + 1) ÷ (x + 1) = ?

RS Aggarwal - Mathematics

Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any category?

(i) x+y

(ii) 1000

(iii) x+x²+x³+x⁴

(iv)7+a+5b

(v) 2b-3b²

(vi) 2y-3y²+4y³

(vii) 5x-4y+3x

(viii) 4a-15a²

(ix) xy+yz+zt+tx

(x) pqr

(xi) p²q+pq²

(xii) 2p+2q

RD Sharma - Mathematics

Fill in the blanks to make the statements true:

The coefficient in – 37abc is …………. .

NCERT - Mathematics Exemplar

(x² - 4x + 4) ÷ (x - 2) = ?

RS Aggarwal - Mathematics

Write each of the following polynomicals in the standard from. Also, write their drgree:

(i)

(ii)

(iii)

(iv)

(v)

(vi)

RD Sharma - Mathematics

Which of the following expressions are not polynomiasl?

(i)

(ii)

(iii)

(iv)

(v)

RD Sharma - Mathematics

(197 × 203) = ?

RS Aggarwal - Mathematics