Question 1: Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following :
(i) p(x) = x3 – 3x2 + 5x – 3, g(x) = x2 – 2
(ii) p(x) = x4 – 3x2 + 4x + 5, g(x) = x2 + 1 – x
(iii) p(x) = x4 – 5x + 6, g(x) = 2 – x2
Question 2: Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial: (i) t2 – 3 , 2t4 + 3t3 – 2t2 – 9t – 12
(ii) x2 + 3x + 1, 3x4 + 5x3 – 7x2 + 2x + 2 (iii) x3 – 3x + 1, x5 – 4x3 + x2 + 3x + 1
Question 3: Obtain all other zeroes of 3x4 + 6x3 – 2x2 – 10x – 5, if two of its zeroes are 5/3 and – 5/3⋅
Question 4: On dividing x3 – 3x2 + x + 2 by a polynomial g(x), the quotient and remainder were x – 2 and –2x + 4, respectively. Find g(x).
Question 5: Give examples of polynomials p(x), g(x), q(x) and r(x), which satisfy the division algorithm and
(i) deg p(x) = deg q(x) (ii) deg q(x) = deg r(x) (iii) deg r(x) = 0
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An Excellent Math Teacher
Sunil Sir has been an excellent math teacher for Saiba. His teaching methods are highly informative, engaging, and motivational which have greatly strengthened Saiba’s understanding of maths concepts. He consistently provides support beyond the classroom and has played an important role in improving Saiba’s problem-solving skills and preparation for math competitions. His dedication and professionalism make him an outstanding educator. Saiba is thankful for his continued support and positive influence.
– Saiba’s Parents (USA)
Amazing Math Coach
Sunil is an amazing math coach! My son Rishi loves to learn from him. He makes learning fun and engages Rishi. Sunil is also very patient with kids and understands my son’s learning methods and teaches accordingly with positive reinforcement. Very thankful to him!
– Rishi’s Parents (USA)
Unique, Patient and Good Mentor
Sunil sir has a unique way of explaining complex concepts, making them simple and understandable. You are very patient and always encourages me to ask queries as many times until the concept is clearer. You are a great person besides being a good mentor and always in a light mood and never gets frustrated for anything. My grades have immensely improved and I am much more confident in maths now.
Also, your videos on Mathemafia youtube channel are very informative.
– Lakshay (USA)
Class 10 – Mathematics – NCERT Solutions
- Real Numbers
- Polynomials
- Pair of Linear Equation in Two Variables
- Quadratic Equations
- Arithmetic Progressions
- Triangles
- Exercise 6.1
- Exercise 6.2
- Exercise 6.3
- Coordinate Geometry
- Introduction to Trigonometry
- Some Applications of Trigonometry
- Exercise 9.1
- Circles
- Areas Related to Circles
- Surface Areas and Volumes
- Exercise 12.1
- Exercise 12.2
- Statistics
- Exercise 13.1
- Exercise 13.2
- Exercise 13.3
- Probability
Super Cool Stuff
- Calculators
- Quadratic Equation Calculator – Solve any Equation
- Super Concepts
