# NCERT Solutions for class 10 Maths Chapter 2 Exercise 2.3

NCERT Solutions for class 10 Maths Chapter 2 Exercise 2.3 Polynomials PDF in Hindi Medium and English Medium download in PDF or View in Video Format free all solutions or study online for academic session 2020-2021.

Class 10 Maths Solutions and Offline Apps are updated on the basis of new Curriculum 2020-21 for CBSE students as well as UP Board students using NCERT Books 2020-21. Download (Exercise 2.3) in PDF format to use it offline or use online given below.## NCERT Solutions for class 10 Maths Chapter 2 Exercise 2.3

Class: | 10 |

Subject: | Maths – गणित |

Chapter 2: | Exercise 2.3 |

### 10 Maths Chapter 2 Exercise 2.3 Solutions

NCERT Solutions for class 10 Maths Chapter 2 Exercise 2.3 Polynomials English medium as well as Hindi Medium given below to download or use it online free for academic year 2020-21. Visit to discussion forum to share your knowledge or ask your doubts.

### Class 10 Maths Exercise 2.3 Solutions

#### Questions From Board Papers

1. What real number should be subtracted from the polynomial 3x³ + 10x² – 14x + 9, so that the polynomial 3x – 2 divides it exactly? [Answer: 5]

2. If α and β are the zeroes of the polynomial x² – 5x + m such that α – β = 1, find m. [Answer: 6]

3. If the sum of squares of zeroes of the polynomial x² – 8x + k is 40, find the value of k. [Answer: 12]

4. Write a quadratic polynomial, the sum of whose zeroes is – 3 and their product is also – 3.

5. If α and β are zeroes of the polynomial t2 – t – 4, form a quadratic polynomial whose zeroes are 1/α and 1/β. [Answer: 4t² + t – 1]

##### Important Questions on Polynomials for Board Papers

1. Find the value of k such that 3x² + 2kx + x – k – 5 has the sum of zeroes as half of their product. [Answer: 1]

2. If α and β are zeroes of x² – x – 2, find a polynomial whose zeroes are (2α + 1) and (2β + 1). [Answer: x² – 4x – 5]

3. Find values of a and b so that x^4 + x³ + 8x² + ax + b is divisible by x² + 1. [Answer: a = 1, b = 7]

###### Questions for Practice

1. A person distributes k books to some needy students. If k is a zero of the polynomial x² – 100x – 20000, then find the number of books distributed. [Answer: 200]

2. If (k + y) is a factor of each of the polynomials y² + 2y – 15 and y³ + a, find values of k and a. [Answer: k = 3, – 5 and a = 27, – 125]

3. If x^4 + 2x³ + 8x² + 12x + 18 is divided by (x² + 5), remainder comes out to be (px + q), find values of q and q. [Answer: p = 2, q = 3]

4. –5 is one of the zeroes of 2x² + px – 15, zeroes of p(x² + x) + k are equal to each other. Find the value of k. [Answer: 7/4]

5. If two zeroes of x^4 – 6x³ – 26x² + 138 x – 35 are (2 ± √3), find other zeroes. [Answer: -5, 7]

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