• Skip to main content
  • Skip to primary sidebar
  • Skip to footer
  • NCERT Solutions
    • NCERT Books Free Download
  • TS Grewal
    • TS Grewal Class 12 Accountancy Solutions
    • TS Grewal Class 11 Accountancy Solutions
  • CBSE Sample Papers
  • NCERT Exemplar Problems
  • English Grammar
    • Wordfeud Cheat
  • MCQ Questions

CBSE Tuts

CBSE Maths notes, CBSE physics notes, CBSE chemistry notes

Polynomials Class 10 Maths CBSE Important Questions with Solutions

Important Questions for Class 10 Maths Chapter 2 Polynomials with solutions includes all the important topics with detailed explanation that aims to help students to score more marks in Board Exams 2020. Students who are preparing for their Class 10 exams must go through Important Questions for Class 10 Math Chapter 2 Polynomials.

Important Questions for Class 10 Maths Chapter 2 Polynomials

Expert teachers at CBSETuts.com collected and solved 2 Marks and 4 mark important questions for Class 10 Maths Chapter 2 Polynomials. All the solutions given in this page are solved based on CBSE marking scheme and NCERT guidelines.
MathsScienceEnglishSocialHindi AHindi B

Short Answer Type Questions II [3 Marks]

Question 1
Find the zeroes of the quadratic polynomial 3x2 – 2 and verify the relationship between the zeroes and the coefficients.
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 1

Question 2
On dividing x3 – 8x2 + 20x -10 by a polynomial g(x), the quotient and the remainder were x – 4 and 6 respectively. Find g(x).
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 2

Question 3
Polynomials Class 10 Maths CBSE Important Questions with Solutions 3

Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 4

Question 4.
Divide the polynomial x4 – 11 x2 + 34x – 12 by x – 2 and find the quotient and the remainder. Also verify the division algorithm.

Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 5
Polynomials Class 10 Maths CBSE Important Questions with Solutions 6

Question 5.
An NGO decided to distribute books and pencils to the students of a school running by some other NGO. For this they collected some amount from different people. The total amount collected is represented by 4x4 + 2x3 – 8x2 + 3x – 7.  From this fund each student received an equal amount. The number of students, who received the amount, is represented by x – 2 + 2x2. After distribution, 5x -11, amount is left with the NGO which they donated to school for their infrastructure. Find the amount received by each student from the NGO. What value has been depicted here?
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 7

Question 6.
Obtain all other zeroes of the polynomial x4 – 17x2 – 36x – 20, if two of its zeroes are + 5 and – 2.
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 8

2015

Short Answer Type Questions II [3 Marks]

Question 7.
Divide the polynomial x4 – 9x2 + 9 by the polynomial x2 -3x and verify the division algorithm.
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 9

Question 8.
If one zero of the quadratic polynomial f(x) = 4x2 – 8kx + 8x – 9 is negative of the other, then find the zeroes of kx2 + 3kx + 2.
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 10

Question 9.
An NGO decided to distribute books and pencils to the students of a school running by some other NGO. For this, they collected some amount from different number of people. The total amount collected is represented by 4 x4 + 2x3 – 8x2 + 3x – 7. . The amount is equally divided between each of the students. The number of students, who received the amount is represented by x – 2 + 2x2. After distribution, 5x- 11, amount is left with the NGO which they donated to school for their infrastructure. Find the amount received by each student from the NGO.
What value have been depicted here?
Answer:

Polynomials Class 10 Maths CBSE Important Questions with Solutions 11

2014

Short Answer Type Questions I [2 Marks]

Question 10.
If the product of zeroes of the polynomial ax2 – 6x – 6 is 4, find the value of a. Find the sum of zeroes of the polynomial.
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 12

Question 11.
Find the zeroes of the quadratic polynomial 9t2-6t + 1 and verify the relationship between the zeroes and the coefficients.
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 13
Question 12.
When a polynomial 6x4 + 8x3 + 290x2 + 21x + 7 is divided by another polynomial 3x2 + 4x + 1 the remainder is in the form ax + b. Find a and b.
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 14

Short Answer Type Questions II [3 Marks]

Question 13.
Obtain all other zeroes of the polynomial x4 + 4x3-2x2-20x -15 if two of its zeroes are √5 and -√5
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 15Polynomials Class 10 Maths CBSE Important Questions with Solutions 16

Question 14.
Polynomials Class 10 Maths CBSE Important Questions with Solutions 17
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 18

Question 15.
Find the zeroes of the quadratic polynomial 3 x 2– 2 and verify the relationship between the zeroes and the coefficients.
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 19

Question 16.
If a polynomial x4 – 3x3 – 6x2 + kx – 16 is exactly divisible by x2 – 3x + 2, then find the vaue of A.
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 20

Question 17.
Obtain all other zeroes of the polynomial x4 – 17x2 – 36x – 20, if two of its zeroes are 5 and – 2.
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 21

Question 18.
Obtain all other zeroes of the polynomial x4 – 3√2x3 – 3x2 + 3√2x – 4, if two of its zeroes are √2 and 2√2.
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 22
Polynomials Class 10 Maths CBSE Important Questions with Solutions 23

Question 19.
Divide the polynomial 3x3– 2x2 + 5x – 5 by 3x + 1 and verify the division algorithm.
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 24

2013

Short Answer Type Questions I [2 Marks]

Question 20.
Find a quadratic polynomial whose zeroes are 3 + √2 and 3 – √2.
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 25

Question 21.
Find a quadratic polynomial whose zeroes are Polynomials Class 10 Maths CBSE Important Questions with Solutions 26
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 27

Question 22.
Verify whether 2,3 and 1/2 are the zeroes of the polynomial
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 28

Question 23.
Obtain all other zeroes of the polynomial x4 + 4x3 – 2x2 – 20x – 15 if two of its zeroes are √5 and -√5.
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 29

2012

Short Answer Type Questions I [2 Marks]

Question 24.
If the zeroes of the polynomial x2 + px + q are double in value to the zeroes of 2x2 – 5x – 3, find the value of p and q.
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 30

Question 25.
Show that 1/2 and -3/2 are the zeroes of the polynomial 4x2 + 4x- 3 and verify the relationship between zeroes and coefficients of polynomial.
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 31

Again, all the prime numbers you used to divide above are the Prime Factors of 50.
Question 26.
Find the value of b for which (2x + 3) is a factor of 2x3 + 9x 2– x-b.
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 32

Question 27.
Given that x-√5 is factor of the polynomial x3 – 3 -√5 x 2– 5x +15√5, find, all the zeroes of the polynomial.
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 33

Question 28.
If the polynomial x4 – 6x3 + 16x2  – 25x + 10 is divided by ( x 2– 2x + k) the remainder comes out to be x+ a, find k and a.
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 34

Question 29.
What must be subtracted or added to p(x) = 8 x4 + 14x3 – 2x2 + 8x – 12 so that 4x 2 + 3x – 2 is a factor of p(x)?
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 35

2011

Short Answer Type Questions I [2 Marks]

Question 30.
Divide x4 – 3x2 + 4x + 5 by x2 -x+ 1, find quotient and remainder.
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 36

Question 31.
If 2 and -3 are the zeroes of the quadratic polynomial x2 + (a + 1) x + b; then find the values of a and b.
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 37

Question 32.
It being given that 1 is one of the zeroes of the polynomial 7x – x3 – 6. Find its other zeroes.
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 38
Polynomials Class 10 Maths CBSE Important Questions with Solutions 39

Short Answer Type Questions II [3 Marks]

Question 33.
If the polynomial 6x4 + 8x3 + 17x2 + 21x + 7 is divided by another polynomial 3x2 + 4x + 1, then what will be the quotient and remainder?
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 40

Question 34
On dividing the polynomial 4x4 – 5x3 – 39x 2 – 46x – 2 by the polynomial g(x), the quotient and remainder were x2 – 3x – 5 and -5x + 8 respectively. Find g(x).
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 41

Long Answer Type Questions [4 Marks]

Question 35.
Find other zeroes of the polynomial x 4 – 7x2 + 12 if it is given that two of its zeroes are √3 and -√3.
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 42
Question 36.
Obtain all other zeroes of the polynomial x 4– 3x 3-x 2 + 9x – 6, if two of its zeroes are √3 and -√3.
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 43

Question 37.
Divide 2x 4– 9x3 + 5x 2 + 3x – 8 bv x 2– 4x+ 1 and verify the division algorithm.
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 44

2010

Very Short Answer Type Questions [1 Mark]

Question 38.
Polynomials Class 10 Maths CBSE Important Questions with Solutions 45 polynomial.
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 46

Question 39.
Polynomials Class 10 Maths CBSE Important Questions with Solutions 47
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 48
Polynomials Class 10 Maths CBSE Important Questions with Solutions 49

Question 40.
If one zero of the polynomial x 2 – 4x + 1 is 2 + √3, write the other zero
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 50
Short Answer Type Questions I [2 Marks]

Question 41.
If two zeroes of the polynomial x 3 – 4x 2 – 3x + 12 are √3 and -√3, then find its third zero.
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 51

Question 42.
If √5 and -√5 are two zeroes of the polynomial x 3 + 3 x 2 – 5x – 15, find its third zero.
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 52

Question 43.
For what value of k, is 3 a zero of the polynomial 2x 2 + x + kx

Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 53

Question 44.
If -1 and 2 are two zeroes of the polynomial 2x 3 – x 2 – 5x – 2, find its third zero.
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 54

2009

Very Short Answer Type Questions [1 Mark]

Question 45.
For what value of k, (- 4) is a zero of the polynomial x 2-x- (2k + 2)
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 55

Question 46.
For what value of p, (-4) is a zero of the polynomial x 2 – 2x – (7p + 3)
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 56
Question 47.
If 1 is a zero of polynomial p(x) = ax 2 – 3 (a – 1) – 1, then find the value of a.
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 57

Question 48.
Write the polynomial, the product and sum of whose zeroes are -9/2 and -3/2 respectively.
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 58

Short Answer type Questions I [2 marks]

Question 49.
If the polynomial 6x 4+ 8x 3 + 17x 2 + 21x + 7 is divided by another polynomial 3x 2 + 4x + 1, the remainder comes out to be (ax + b), find a and b.
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 59

Question 50.
If the polynomial x 4 + 2x 3 + 8x 2 + 12x + 18 is divided by another polynomial x 2 + 5, the remainder comes out to be px + q, find values of p and q.
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 60

Question 51.
Find all the zeroes of the polynomial x 3 + 3x 2 – 2x – 6, if two of its zeroes are -√2 and √2.
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 61

Question 52.
Find all the zeroes of the polynomial 2 x 3 +x 2 – 6 x – 3, if two of its zeroes are -√3 and √3.
Answer:
Polynomials Class 10 Maths CBSE Important Questions with Solutions 62

Primary Sidebar

NCERT Exemplar problems With Solutions CBSE Previous Year Questions with Solutoins CBSE Sample Papers

Recent Posts

  • Lifelines of National Economy Class 10 Important Questions Social Science Geography Chapter 7
  • NCERT Solutions for Class 11 Hindi Core – काव्य भाग – वे आँखें
  • NCERT Solutions for Class 12 Hindi Core – जनसंचार माध्यम और लेखन – पत्रकारीय लेखन के विभिन्न रूप और लेखन प्रक्रिया
  • NCERT Solutions for Class 12 Hindi Core – काव्य भाग – पतंग
  • NCERT Solutions for Class 11 English Hornbill Poem 4 Childhood
  • NCERT Solutions for Class 12 Hindi Core – पूरक पाठ्यपुस्तक-अतीत में दबे पाँव
  • NCERT Solutions for Class 11 Chemistry Chapter 8 Redox Reactions
  • NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area InText Questions
  • Modals Exercises for Class 11 CBSE With Answers – English Grammar
  • Globalisation and the Indian Economy Class 10 Important Questions Social Science Economics Chapter 4
  • Pad Parichay In Hindi | पद परिचय की परिभाषा एवं उनके भेद और उदाहरण (हिन्दी व्याकरण)
  • Rearrange the Jumbled Words for Class 6 CBSE With Answers
  • NCERT Exemplar Class 9 Maths Solutions Chapter 8 Quadrilaterals
  • Triangles Class 10 Maths CBSE Important Questions With Solutions
  • अपठित काव्यांश (Unseen Poetry Passages) | Apathit Kavyansh In Hindi With Questions And Answers

Footer

Maths NCERT Solutions

NCERT Solutions for Class 12 Maths
NCERT Solutions for Class 11 Maths
NCERT Solutions for Class 10 Maths
NCERT Solutions for Class 9 Maths
NCERT Solutions for Class 8 Maths
NCERT Solutions for Class 7 Maths
NCERT Solutions for Class 6 Maths

SCIENCE NCERT SOLUTIONS

NCERT Solutions for Class 12 Physics
NCERT Solutions for Class 12 Chemistry
NCERT Solutions for Class 11 Physics
NCERT Solutions for Class 11 Chemistry
NCERT Solutions for Class 10 Science
NCERT Solutions for Class 9 Science
NCERT Solutions for Class 7 Science
MCQ Questions NCERT Solutions
CBSE Sample Papers
NCERT Exemplar Solutions LCM and GCF Calculator
TS Grewal Accountancy Class 12 Solutions
TS Grewal Accountancy Class 11 Solutions