NCERT Solutions for class 10 Maths Chapter 2: Polynomial

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NCERT Solutions for Class 10 Maths Chapter 2 Polynomials covers concepts of polynomial equations. A polynomial is an expression made up of variables and coefficients that involve the basic arithmetic operations of addition, subtraction, and multiplication as well as the exponential negative exponential of variables.

Class 10 Maths Chapter 2 Polynomials belongs to Unit 2 Algebra which has a weightage of 20 marks in the CBSE Class 10 Maths Examination. Usually, 1 question is asked from the chapter in the exam. The NCERT Solutions covers the concepts of the division algorithm for polynomials of integers and whether the zeroes of these quadratic polynomials are related to their coefficients.

Download PDF: NCERT Solutions for Class 10 Mathematics Polynomials

NCERT Solutions for Class 10 Mathematics Chapter 2

Important Topics in Class 10 Maths Chapter 2 Polynomials

Algebraic Expressions are expressions formed of variables and constants along with the mathematical operators.

An example of an algebraic expression: 3x²y + 4xy + 5x + 6

A polynomial is an algebraic expression that has an exponent on any variable as a whole number.

For example: x²– 5x + 11

Degree of Polynomial is the highest power of a monomial present in a polynomial expression. The highest exponential power is known as the degree of a polynomial.

For example: The degree of the polynomial x³+ 2x² + 3x + 2 is 3, as the highest power of x in the given expression is 3.

Polynomials can be classified on the basis of:
a) Number of terms – Monomial, Binomial, and Trinomial

- Monomial – A polynomial with one term. Example: 2x and 9xy - Binomial – A polynomial with two terms. Example: 3x²+ x, 9x + 4 - Trinomial – A polynomial with three terms. Example: 7x²+ 9x + 2

b) Degree of the polynomial – Linear Polynomial, Cubic Polynomial and Quadratic Polynomial

- Linear Polynomial – A polynomial with degree equal to one. For example, 9x + 7 is a linear polynomial.

- Quadratic Polynomial – A polynomial with its degree as two. For example, 5x²+ 2x + 1 is a quadratic polynomial.

- Cubic Polynomial – A polynomial with its degree as three. For example, 4x³+ 5x²+ 2x +16 is a cubic polynomial.

NCERT Solutions For Class 10 Maths Chapter 2 Exercises:

The detailed solutions for all the NCERT Solutions for Polynomials under different exercises are as follows:

Polynomials – Related Topics:

Polynomials Formula	Polynomials Important Question	Polynomials Revision Notes
Parabola Graph	Zeroes of Polynomial	Roots of Polynomial
Linear Equations in Two Variables	Cross-multiplication of solving linear equations	Graph of Linear Equation in two variables

CBSE Class 10 Mathematics Study Guides:

Difference between in Maths	Math Formula	Class 10 Maths Notes
NCERT Solutions for Class 10 Maths	Maths Study Material	Mensuration
Math MCQs	Calculus	Geometry

CBSE X Related Questions

1.
If \(PQ\) and \(PR\) are tangents to the circle with centre \(O\) and radius \(4 \text{ cm}\) such that \(\angle QPR = 90^{\circ}\), then the length \(OP\) is
- \(4 \text{ cm}\)
- \(4\sqrt{2} \text{ cm}\)
- \(8 \text{ cm}\)
- \(2\sqrt{2} \text{ cm}\)
View Solution
2.
A trader has three different types of oils of volume \(870 \text{ l}\), \(812 \text{ l}\) and \(638 \text{ l}\). Find the least number of containers of equal size required to store all the oil without getting mixed.
View Solution
3.
Prove that: \(\frac{\sec^3 \theta}{\sec^2 \theta - 1} + \frac{\csc^3 \theta}{\csc^2 \theta - 1} = \sec \theta \cdot \csc \theta (\sec \theta + \csc \theta)\)
View Solution
4.
For any natural number n, \( 5^n \) ends with the digit :
- 0
- 5
- 3
- 2
View Solution
5.
An ice-cream cone of radius \(r\) and height \(h\) is completely filled by two spherical scoops of ice-cream. If radius of each spherical scoop is \(\frac{r}{2}\), then \(h : 2r\) equals
- \(1 : 8\)
- \(1 : 2\)
- \(1 : 1\)
- \(2 : 1\)
View Solution
6.
The dimensions of a window are 156 cm \(\times\) 216 cm. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.
View Solution

View All

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Polynomials: Definition, Types and Examples

Polynomials Important Questions

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Factorisation of Polynomials: Methods and Factor Theorem

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NCERT Solutions for class 10 Maths Chapter 2: Polynomial

NCERT Solutions for Class 10 Mathematics Chapter 2

Important Topics in Class 10 Maths Chapter 2 Polynomials

NCERT Solutions For Class 10 Maths Chapter 2 Exercises:

CBSE X Related Questions

1.
If \(PQ\) and \(PR\) are tangents to the circle with centre \(O\) and radius \(4 \text{ cm}\) such that \(\angle QPR = 90^{\circ}\), then the length \(OP\) is

2.
A trader has three different types of oils of volume \(870 \text{ l}\), \(812 \text{ l}\) and \(638 \text{ l}\). Find the least number of containers of equal size required to store all the oil without getting mixed.

3.
Prove that: \(\frac{\sec^3 \theta}{\sec^2 \theta - 1} + \frac{\csc^3 \theta}{\csc^2 \theta - 1} = \sec \theta \cdot \csc \theta (\sec \theta + \csc \theta)\)

4.
For any natural number n, \( 5^n \) ends with the digit :

5.
An ice-cream cone of radius \(r\) and height \(h\) is completely filled by two spherical scoops of ice-cream. If radius of each spherical scoop is \(\frac{r}{2}\), then \(h : 2r\) equals

6.
The dimensions of a window are 156 cm \(\times\) 216 cm. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.

Similar Mathematics Concepts

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NCERT Solutions for class 10 Maths Chapter 2: Polynomial

NCERT Solutions for Class 10 Mathematics Chapter 2

Important Topics in Class 10 Maths Chapter 2 Polynomials

NCERT Solutions For Class 10 Maths Chapter 2 Exercises:

CBSE X Related Questions

1.If \(PQ\) and \(PR\) are tangents to the circle with centre \(O\) and radius \(4 \text{ cm}\) such that \(\angle QPR = 90^{\circ}\), then the length \(OP\) is

2.A trader has three different types of oils of volume \(870 \text{ l}\), \(812 \text{ l}\) and \(638 \text{ l}\). Find the least number of containers of equal size required to store all the oil without getting mixed.

3.Prove that: \(\frac{\sec^3 \theta}{\sec^2 \theta - 1} + \frac{\csc^3 \theta}{\csc^2 \theta - 1} = \sec \theta \cdot \csc \theta (\sec \theta + \csc \theta)\)

4.For any natural number n, \( 5^n \) ends with the digit :

5.An ice-cream cone of radius \(r\) and height \(h\) is completely filled by two spherical scoops of ice-cream. If radius of each spherical scoop is \(\frac{r}{2}\), then \(h : 2r\) equals

6.The dimensions of a window are 156 cm \(\times\) 216 cm. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
If \(PQ\) and \(PR\) are tangents to the circle with centre \(O\) and radius \(4 \text{ cm}\) such that \(\angle QPR = 90^{\circ}\), then the length \(OP\) is

2.
A trader has three different types of oils of volume \(870 \text{ l}\), \(812 \text{ l}\) and \(638 \text{ l}\). Find the least number of containers of equal size required to store all the oil without getting mixed.

3.
Prove that: \(\frac{\sec^3 \theta}{\sec^2 \theta - 1} + \frac{\csc^3 \theta}{\csc^2 \theta - 1} = \sec \theta \cdot \csc \theta (\sec \theta + \csc \theta)\)

4.
For any natural number n, \( 5^n \) ends with the digit :

5.
An ice-cream cone of radius \(r\) and height \(h\) is completely filled by two spherical scoops of ice-cream. If radius of each spherical scoop is \(\frac{r}{2}\), then \(h : 2r\) equals

6.
The dimensions of a window are 156 cm \(\times\) 216 cm. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.