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.

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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.
Which of the following sequence is \(\textit{not }\)an A.P. ?
- \( 2, \frac{5}{2}, 3, \frac{7}{2}, \dots \)
- \( -1.2, -3.2, -5.2, -7.2, \dots \)
- \( \sqrt{2}, \sqrt{8}, \sqrt{18}, \dots \)
- \( 1^2, 3^2, 5^2, 7^2, \dots \)
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2.
The line segment joining the points \(P(-4, -2)\) and \(Q(10, 4)\) is divided by y-axis in the ratio
- \(2:5\)
- \(1:2\)
- \(2:1\)
- \(5:2\)
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3.
If the median of the following distribution is 32.5, then find the values of x and y.
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4.
The graph of \(y = f(x)\) is given. The number of zeroes of \(f(x)\) is :
- 0
- 1
- 3
- 2
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5.
Assertion (A) : H.C.F. \((36 m^{2}, 18 m) = 18 m\), where \(m\) is a prime number.
Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.
- Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
- Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
- Assertion (A) is true, but Reason (R) is false.
- Assertion (A) is false, but Reason (R) is true.
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6.
PQ and PR are two tangents to a circle with centre O and radius 5 cm. AB is another tangent to the circle at C which lies on OP. If \(OP = 13\) cm, then find the length AB and PA.
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