NCERT Solutions for Polynomials Exercise 2.3 Class 10 Maths

NCERT Solutions for Polynomials Exercise 2.3 Class 10 Maths: Students must download the NCERT Solutions for Polynomials Exercise 2.3 Class 10 Maths for excellent performance in the class 10 maths exam. Class 10 NCERT solutions is required for students to do their best in board exams without any hurdle.  NCERT Solutions for Polynomials Exercise 2.3 Class 10 Maths will assist students in finding solutions of all problems in Exercise 2.3 Class 10 Maths. Not only that students can cross-check their answers with the help of exercise 2.3 class 10 maths solutions.

Embibe’s exercise 2.3 class 10 maths solutions is created by excellent maths faculties and are based on the latest CBSE guidelines. Ex 2.3 class 10 PDF is available in this article. Students can download and refer to exercise 2.3 class 10 maths for any hurdle they face while solving exercise 2.3 class 10 maths questions. Continue reading this article to get NCERT solutions for exercise 2.3 class 10 maths.

NCERT Solutions for Polynomials Exercise 2.3 Class 10 Maths: Overview

Let us give you an overview before we provide you NCERT Solutions for Polynomials Exercise 2.3 Class 10 Maths PDF:

Because this is an important topic in math, it is included in the unit Algebra, which is worth 20 points in the Class 10 Maths CBSE Term I exams. In this chapter you will get to know about:

Class 10 NCERT Solutions for Polynomials Exercise 2.3 discusses solutions to a variety of questions about polynomials and their applications. We investigate whether the zeroes of quadratic polynomials are related to their coefficients, as well as the division procedure for polynomials of integers.

Section 2.1 introduces polynomials, followed by sections 2.2 and 2.3 that discuss important topics such as:

• Geometrical Meaning of the zeroes of a Polynomial – It includes 1 question having 6 different cases.
• Relationship between Zeroes and Coefficients of a polynomial – Explore the relationship between zeroes and coefficients of a quadratic polynomial through solutions to 2 problems in Exercise 2.2 having 6 parts in each question.
• Division Algorithm for Polynomials – In this, the solutions for 5 problems in Exercise 2.3 is given having three long questions.

NCERT Solutions for Polynomials Exercise 2.3 Class 10 Maths: Download PDF

Here we have provided NCERT Solutions for Polynomials Exercise 2.3 Class 10 Maths. Just click on the link and download the PDF:

Important questions of Class 10 Polynomials:

Here are some important questions from the chapter Polynomilas NCERT class 10:

1.  If the zeroes of polynomial x3 – ax2 + bx – c are in AP then show that 2a3 – 9ab + 27c = 0

2.  If 1 and –1 are zeroes of polynomial Lx4 + Mx3 + Nx2 + Rx + P, show that L + N + P = M + R = 0

3.  Draw graph of the function f(x) = –2×2 + 4x.

4.  If x + a is a factor of the polynomial x2 + px + q and x2 + mx + n prove that

5.  Find a cubic polynomial with the sum, sum of the product of its zeroes taken two at a time and product of its zeroes are respectively.

6.  Write cubic polynomial whose zeroes are

7.  α, β, γ are zeroes of cubic polynomial kx3 – 5x + 9.

          If α3 + β3 + γ3 = 27, find the value of k.

8.  α, β, γ are zeroes of cubic polynomial x3 – 12×2 + 44x + c.

         If α, β, γ are in AP, find the value of c.

9.  Two zeroes of cubic polynomial ax3 + 3×2 – bx – 6 are –1 and –2. Find the third zero and value of a and b.

10.  α, β, γ are zeroes of cubic polynomial x3 – 2×2 + qx – r.

         If α + β = 0 then show that 2q = r.

11.  α, β, γ are zeroes of polynomial x3 + px2 + qx + 2 such that α.

         β + 1 = 0. Find the value of 2p + q + 5.

12.  If one zero of the polynomial 5z2 + 13z – p is reciprocal of the other, then find p.

13.  If the product of two zeroes of polynomial 2×3 + 3×2 – 5x – 6 is 3, then find its third zero.

14.  Find the polynomial of least degree which should be subtracted from the polynomial x4 + 2×3 – 4×2 + 6x – 3 so that it is exactly divisible by x2 – x + 1.

15.  Is polynomial y4 + 4y2 + 5 have zeroes or not?

16.  Write a quadratic polynomial, the sum of whose zeroes is and the product is 5.

17.  Write the zeroes of the polynomial x2 + 2x + 1.

18.  If the zeroes of the polynomial f(x) = x3 – 12×2 + 39x + a are in AP, find the value of a.

19.  A polynomial g(x) of degree zero is added to the polynomial 2×3 + 5×2 – 14x + 10 so that it becomes exactly divisible by 2x – 3. Find the g(x).

10.  Find the zeroes of the quadratic polynomial x2 + 5x + 6 and verify the relationship between the zeroes and the coefficient

Linear Equations:

Pair of Linear Equations in two variables:

Where

• a1, b1, c1, a2, b2, and c2 are all real numbers and
• a12+b12 ≠ 0 & a22 + b22 ≠ 0

Quadratic Equation and Formula:

The standard form of a Quadratic Equation is:

Algebraic formulas

• (a+b)2 = a2 + b2 + 2ab
• (a-b)2 = a2 + b2 – 2ab
• (a+b) (a-b) = a2 – b2
• (x + a)(x + b) = x2 + (a + b)x + ab
• (x + a)(x – b) = x2 + (a – b)x – ab
• (x – a)(x + b) = x2 + (b – a)x – ab
• (x – a)(x – b) = x2 – (a + b)x + ab
• (a + b)3 = a3 + b3 + 3ab(a + b)
• (a – b)3 = a3 – b3 – 3ab(a – b)
• (x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2xz
• (x + y – z)2 = x2 + y2 + z2 + 2xy – 2yz – 2xz
• (x – y + z)2 = x2 + y2 + z2 – 2xy – 2yz + 2xz
• (x – y – z)2 = x2 + y2 + z2 – 2xy + 2yz – 2xz
• x3 + y3 + z3 – 3xyz = (x + y + z)(x2 + y2 + z2 – xy – yz -xz)
• x2 + y2 =½ [(x + y)2 + (x – y)2]
• (x + a) (x + b) (x + c) = x3 + (a + b +c)x2 + (ab + bc + ca)x + abc
• x3 + y3= (x + y) (x2 – xy + y2)
• x3 – y3 = (x – y) (x2 + xy + y2)
• x2 + y2 + z2 -xy – yz – zx = ½ [(x-y)2 + (y-z)2 + (z-x)2]

Benefits of having NCERT Solutions for Polynomials Exercise 2.3 Class 10 Maths:

Here are some benefits of having NCERT Solutions for Polynomials Exercise 2.3 Class 10 Maths:

• NCERT Solutions for Polynomials Exercise 2.3 Class 10 Maths will help students of class 10 understand all the questions and concepts ina better way.
• Students will be able to get good grades in board exams with the help of NCERT Solutions for Polynomials Exercise 2.3 Class 10 Maths.
• NCERT Solutions for Polynomials Exercise 2.3 Class 10 Maths is based on NCERT guidelines hence helping students in preparing them well for the class 10 board exam accordingly.
• NCERT Solutions for Polynomials Exercise 2.3 Class 10 Maths covers all important questions solutions in a detailed manner provided by our subject matter expert.
• At Embibe we have provided all class 10 NCERT solutions which will help students in saving a lot of time as they can refer all class 10 NCERT solutions at one place.
• Embibe’s class 10 ncert solutions are created by top academic professionals. These answers can help you answer in-text questions, better understand topics, and do your daily assignments with ease.

Frequently asked questions on NCERT Solutions for Polynomials Exercise 2.3 Class 10 Maths:

Following are some of the frequently asked questions on NCERT Solutions for Polynomials Exercise 2.3 Class 10 Maths:

Q1. from where can i download the NCERT Solutions for Polynomials Exercise 2.3 Class 10 Maths PDF?
Ans: Students can download the NCERT Solutions for Polynomials Exercise 2.3 Class 10 Maths PDF from the above article.

Q2. How difficult is the Polynomial chapter of class 10?
Ans: Polynomial class 10 is not difficult if students practice all concepts wisely. Since this is an important topic in math, it is included in the unit Algebra, which is worth 20 points in the Class 10 Maths CBSE Term I exams.

Q3. Is there any online app to take the Class 10 mock test series?
Ans. Yes, Embibe provides learn, practice and test section where you can learn the concepts then practice questions of that concept and you can even give a mock tests.

Q4. How will exercise 2.3 class 10 maths NCERT solutions help me prepare for my 10th Class Boards?
Ans: Exercise 2.3 class 10 maths NCERT solutions will assist students in gaining a better understanding of all the concepts learned in this chapter and will allow them to solve all intext questions of NCERT class 10 Polynomials.

Q5. What are the topics covered in Polynomials class 10 chapter?
Ans:  In Polynomials class 10 students will get to know about:

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