Daily Practice Problems undefined Polynomials

Question 1:

If α, β are the zeroes of the polynomial x² – 16, then αβ(α + β) is _____.

Question 2:

For what value of K, (-4) is a zero of the polynomial x² - x - (2K + 2)?

Question 3:

Find the zeroes of the quadratic polynomial 4u² + 8u and verify the relationship between the zeroes and the coefficients.

Question 4:

Find the zeroes of the quadratic polynomial 6x² – 3 – 7x and verify the relationship between the zeroes and the coefficients.

Question 5:

If one zero of the quadratic polynomial x² + 3x + k is 2, find the value of k.

Question 6:

If two zeroes of the polynomial x⁴ – 6x³ – 26x² + 138x – 35 are 2 ± √3, find other zeroes.

Question 7:

The nature of the zeroes of the quadratic polynomial x²+ 99x + 127 are _____.

Question 8:

If the zeroes of the polynomial x³ – 3x² + x + 1 are a – b, a, a + b, find a and b.

Question 9:

Can x – 2 be the remainder on division of a polynomial p(x) by x + 3?

Question 10:

What number should be added to the polynomial x² – 5x + 4, so that 3 is the zero of the polynomial?

Question 11:

If one of the zeros of the quadratic polynomial f(x) = 4x² – 8kx – 9 is equal in magnitude but opposite in sign of the other, find the value of k.

Question 12:

If one of the zeros of the quadratic polynomial (k – 1)x² + kx + 1 is -3 then find the value of k.

Question 13:

Given that one of the zeros of the cubic polynomial ax³ + bx² + cx + d is zero, find the product of the other two zeros.

Question 14:

If the polynomial x⁴ + 2x³ + 8x² + 12x + 18 is divided by another polynomial x² + 5, the remainder comes out to be px + q. Find values of p and q.

Question 15:

If the polynomial x⁴ – 6x³ + 16x² – 25x + 10 is divided by another polynomial x² – 2x + k, the remainder comes out to be x + a, find k and a.

Question 16:

Find the quadratic polynomial whose zeros are -3 and 4.

Question 17:

If 1 is a zero of the polynomial p(x) = ax² – 3(a – 1)x - 1, then find the value of a.

Question 18:

Find a cubic polynomial with the sum, sum of the product of its zeroes taken two at a time, and the product of its zeroes as 2, -7, -14 respectively.

Question 19:

If a and b are the zeroes of the quadratic polynomial f(x) = x² - 4x + 3, find the value of a⁴b³ + a³b⁴.

Question 20:

If two zeroes of the polynomial x³ - 4x² - 3x + 12 are √3 and -√3, then find its third zero.

**********

Problem-solving on Class 10 Maths Polynomials NCERT Chapter 2 after learning a theoretical concept is crucial for several reasons:

Application of Knowledge: Problem-solving allows you to apply the theoretical concepts of the topic Class 10 Maths Polynomials you have learned to real-life situations. It helps you bridge the gap between abstract knowledge and practical scenarios, making the learning more relevant and meaningful.
Understanding Deeper Concepts: When you encounter problems related to a theoretical concept that you learned in Class 10 Maths Polynomials NCERT Chapter 2, you are forced to delve deeper into its intricacies. This deeper understanding enhances your comprehension of the subject and strengthens your grasp of the underlying principles.
Critical Thinking: Problem-solving encourages critical thinking and analytical skills. It requires you to analyze the problem, identify relevant information, and devise a logical solution. This process sharpens your mind and improves your ability to approach complex challenges effectively.
Retention and Recall: Actively engaging in problem-solving reinforces your memory and improves long-term retention. Applying the concepts learned in Polynomials Class 10 Maths in practical scenarios helps you remember them better than passive reading or memorization.
Identifying Knowledge Gaps: When you attempt to solve problems, you may encounter areas where your understanding is lacking. These knowledge gaps become evident during problem-solving, and you can then focus on filling those gaps through further study and practice. You can refer Polynomials Class 10 Maths Notes on LearnoHub.com
Boosting Confidence: Successfully solving problems after learning a theoretical concept boosts your confidence in your abilities to handle Polynomials. This confidence motivates you to tackle more challenging tasks and improves your overall performance in the subject.
Preparation for Exams and Challenges: Many exams, especially in science, mathematics, and engineering, involve problem-solving tasks. Regular practice in problem-solving prepares you to face these exams with confidence and perform well. It is also advised to take tests on Polynomials Class 10 Maths Online Tests at LearnoHub.com.
Enhancing Creativity: Problem-solving often requires thinking outside the box and exploring various approaches. This fosters creativity and innovation, enabling you to come up with novel solutions to different problems.
Life Skills Development: Problem-solving is a valuable life skill that extends beyond academics. It equips you with the ability to tackle various challenges you may encounter in personal and professional life.
Improving Decision Making: Problem-solving involves making decisions based on available information and logical reasoning. Practicing problem-solving enhances your decision-making skills, making you more effective in making informed choices.

In summary, problem-solving after learning a theoretical concept on CBSE Polynomials Class 10 Maths is an essential part of the learning process. It enhances your understanding, critical thinking abilities, and retention of knowledge. Moreover, it equips you with valuable skills that are applicable in academic, personal, and professional contexts.

You must have heard of the phrase “Practice makes a man perfect”. Well, not just a man, practice indeed enhances perfection of every individual.

Practicing questions plays a pivotal role in achieving excellence in exams. Just as the adage goes, "Practice makes perfect," dedicating time to solve a diverse range of exam-related questions yields manifold benefits. Firstly, practicing questions allows students to familiarize themselves with the exam format and types of problems they might encounter. This familiarity instills confidence, reducing anxiety and improving performance on the actual exam day. Secondly, continuous practice sharpens problem-solving skills and enhances critical thinking, enabling students to approach complex problems with clarity and efficiency. Thirdly, it aids in identifying weak areas, allowing students to focus their efforts on improving specific topics. Moreover, practice aids in memory retention, as active engagement with the material reinforces learning. Regular practice also hones time management skills, ensuring that students can allocate appropriate time to each question during the exam. Overall, practicing questions not only boosts exam performance but also instills a deeper understanding of the subject matter, fostering a holistic and effective learning experience.

All About Daily Practice Problems on Class 10 Maths Polynomials NCERT Chapter 2

Our Daily Practice Problems (DPPs) offer a diverse range of question types, including Multiple Choice Questions (MCQs) as well as short and long answer types. These questions are categorized into Easy, Moderate, and Difficult levels, allowing students to gradually progress and challenge themselves accordingly. Additionally, comprehensive solutions are provided for each question, available for download in PDF format - Download pdf solutions as well as Download pdf Questions. This approach fosters a holistic learning experience, catering to different learning styles, promoting self-assessment, and improving problem-solving skills. With our well-structured DPPs, students can excel in exams while gaining a deeper understanding of the subject matter. Hope you found the content on Class 10 Maths Polynomials NCERT Chapter 2 useful.

Last but not least, to get the best hold on Class 10 Maths Polynomials NCERT Chapter 2, do not forget to check out:

Polynomials Class 10 Maths Best videos
Polynomials Class 10 Maths NCERT Solutions
Class 10 Maths Polynomials Revision notes
Polynomials Class 10 Maths DPPs, Download PDF of solutions
Class 10 Maths Polynomials Online Tests
Class 10 Maths Sample papers