अध्याय 2 · Class 10 UP Board · Free Worksheet PDF

Polynomials Sums for Class 10 — Free UP Board Worksheet PDF with Answers

Download a free printable polynomials worksheet for Class 10 UP Board with 30 practice questions covering polynomials concepts, practice problems, and word problems with step-by-step solutions. Includes complete answer key. UP Board-aligned for the 2025-26 syllabus.

Last updated: 5 May 2026

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30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.

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Sample Polynomials Sums for Class 10 — Practice Questions

Here are 8 sample polynomials sums from this Class 10 UP Board worksheet. Download the full PDF for all 30 questions with answers.

Q1.निम्न में से कौन एक बहुपद नहीं है?
A.x2+2x+1x^2 + 2x + 1
B.3x3−2x+53x^3 - \sqrt{2}x + 5
C.1x+x\frac{1}{x} + x
D.y4−7y2+yy^4 - 7y^2 + y

Difficulty: Easy

Q2.ग्राफ में दिखाए गए बहुपद y=p(x)y = p(x) के शून्यकों की संख्या ज्ञात कीजिए।
A.1
B.2
C.3
D.4

Difficulty: Easy

Q3.बहुपद p(x)=5x−10p(x) = 5x - 10 का शून्यक ज्ञात कीजिए।
A.2
B.-2
C.1/2
D.5

Difficulty: Easy

Q4.द्विघात बहुपद x2+7x+10x^2 + 7x + 10 के शून्यकों का योग क्या होगा?
A.7
B.-7
C.10
D.-10

Difficulty: Easy

Q5.द्विघात बहुपद 3x2−x−43x^2 - x - 4 के शून्यकों का गुणनफल क्या होगा?
A.4/34/3
B.−4/3-4/3
C.−1/3-1/3
D.1/31/3

Difficulty: Easy

Q6.एक द्विघात बहुपद ज्ञात कीजिए जिसके शून्यकों का योग 2\sqrt{2} है और गुणनफल 13\frac{1}{3} है।
A.3x2+32x+13x^2 + 3\sqrt{2}x + 1
B.3x2−32x+13x^2 - 3\sqrt{2}x + 1
C.x2−2x+3x^2 - \sqrt{2}x + 3
D.x2+2x+3x^2 + \sqrt{2}x + 3

Difficulty: Easy

Q7.यदि बहुपद p(x)=x2−kx−15p(x) = x^2 - kx - 15 का एक शून्यक 5 है, तो kk का मान क्या होगा?
A.2
B.8
C.-2
D.-8

Difficulty: Easy

Q8.बहुपद x3+3x2+3x+1x^3 + 3x^2 + 3x + 1 को x+1x+1 से भाग देने पर शेषफल क्या होगा?
A.0
B.1
C.-1
D.2

Difficulty: Easy

Answer Key — Sample Questions+
Q1:$\frac{1}{x} + x$
Q2:3
Q3:2
Q4:-7
Q5:$-4/3$
Q6:$3x^2 - 3\sqrt{2}x + 1$
Q7:2
Q8:0

Download the full PDF for all 30 answers with step-by-step solutions.

About This Worksheet

TopicPolynomials
BoardUP Board
Class10
Total Questions30 (10 Easy + 10 Medium + 10 Hard)
Answer KeyIncluded
PriceFree

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Frequently Asked Questions

Where can I download free polynomials sums for Class 10?+
You can download a free Polynomials PDF worksheet for Class 10 UP Board right here on SparkEd. The worksheet includes 30 practice questions (polynomials concepts, practice problems, and word problems with step-by-step solutions) at easy, medium, and hard levels with a complete answer key.
How many polynomials questions are in this Class 10 worksheet?+
This SparkEd worksheet for Polynomials Class 10 contains 30 questions — 10 easy, 10 medium, and 10 hard. The questions cover polynomials concepts, practice problems, and word problems with step-by-step solutions. A fresh set is generated daily so students never repeat the same sheet.
Does the Polynomials worksheet for Class 10 include answers?+
Yes! Every SparkEd worksheet comes with a complete answer key. Students can self-check their work after completing the sheet. The PDF is free to download and print.
Is this polynomials worksheet aligned to UP Board syllabus?+
Yes. This worksheet is specifically designed for Class 10 UP Board students and aligned to the 2025-26 UP Board syllabus. All questions follow the UP Board exam pattern and difficulty level.
Can I print this Polynomials worksheet?+
Absolutely! The worksheet downloads as an A4-size PDF that is ready to print. It includes the questions, space for working, and a separate answer key — perfect for classroom use or home practice.
How is this worksheet different from NCERT textbook exercises?+
SparkEd worksheets go beyond NCERT exercises by providing 30 questions at 3 progressive difficulty levels. Level 1 (Easy) builds confidence, Level 2 (Medium) tests application, and Level 3 (Hard) prepares for exams. Each worksheet includes word problems and conceptual questions, not just computation.
Does this worksheet include polynomials word problems?+
Yes! The worksheet includes both computation-based questions and real-world word problems. Word problems are especially important for UP Board exams, and our worksheet covers a variety of scenarios to build problem-solving skills.

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SparkEd Maths provides free printable maths worksheets for Class 1-10 across CBSE, ICSE, IB, Olympiad, UP Board, Maharashtra SSC, and TN Board. Every worksheet includes an answer key and is aligned to the 2025-26 syllabus.