अध्याय 2 · Class 9 UP Board · Free Worksheet PDF

Polynomials Sums for Class 9 — Free UP Board Worksheet PDF with Answers

Download a free printable polynomials worksheet for Class 9 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 9 — Practice Questions

Here are 8 sample polynomials sums from this Class 9 UP Board worksheet. Download the full PDF for all 30 questions with answers.

Q1.निम्नलिखित में से कौन सा व्यंजक एक बहुपद है?
A.x2+x+3x^2 + \sqrt{x} + 3
B.y+1yy + \frac{1}{y}
C.t3−t2+5t−7t^3 - t^2 + 5t - 7
D.2x−5x−1+1\sqrt{2}x - 5x^{-1} + 1

Difficulty: Easy

Q2.बहुपद 5x4−3x2+7x−95x^4 - 3x^2 + 7x - 9 की घात क्या है?
A.1
B.2
C.3
D.4

Difficulty: Easy

Q3.बहुपद p(x)=3x−6p(x) = 3x - 6 का शून्यक क्या है?
A.2
B.-2
C.6
D.-6

Difficulty: Easy

Q4.यदि p(x)=x2+2x+1p(x) = x^2 + 2x + 1 है, तो p(1)p(1) का मान क्या होगा?
A.1
B.2
C.3
D.4

Difficulty: Easy

Q5.जब बहुपद x3+1x^3 + 1 को (x+1)(x+1) से भाग दिया जाता है, तो शेषफल क्या होगा?
A.0
B.1
C.2
D.-1

Difficulty: Easy

Q6.बहुपद 4x2−3x+74x^2 - 3x + 7 में x2x^2 का गुणांक क्या है?
A.4
B.-3
C.7
D.0

Difficulty: Easy

Q7.यदि x−2x-2 बहुपद p(x)=x2−kx+4p(x) = x^2 - kx + 4 का एक गुणनखंड है, तो kk का मान क्या होगा?
A.2
B.4
C.0
D.-4

Difficulty: Easy

Q8.निम्नलिखित में से कौन सा एक द्विपदी बहुपद है?
A.x3x^3
B.2x+52x + 5
C.x2+3x−1x^2 + 3x - 1
D.77

Difficulty: Easy

Answer Key — Sample Questions+
Q1:$t^3 - t^2 + 5t - 7$
Q2:4
Q3:2
Q4:4
Q5:0
Q6:4
Q7:4
Q8:$2x + 5$

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

About This Worksheet

TopicPolynomials
BoardUP Board
Class9
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 9?+
You can download a free Polynomials PDF worksheet for Class 9 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 9 worksheet?+
This SparkEd worksheet for Polynomials Class 9 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 9 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 9 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.