Class 10 Mathematics: Polynomials Basics

How this worksheet helps your child

• Builds confidence in core Mathematics concepts taught in Class 10 through repeated, varied practice.
• Aligned to CBSE and NCERT — questions mirror the pattern children see in school tests and unit assessments.
• Comes with an answer key so parents and students can self-check in minutes, without needing a teacher.
• Pitched at easy level — use it for daily homework, weekend revision or quick exam warm-ups.

About this worksheet

This helpful practice worksheet is designed for Class 10 students to build a strong foundation in the topic of Polynomials. Mastering these fundamental concepts is crucial as polynomials form the backbone for many advanced topics in mathematics you will encounter in higher classes and competitive examinations. This worksheet provides clear exercises focusing on identifying degrees, understanding zeros, and exploring basic properties of polynomials. It's an excellent resource for students studying under the CBSE curriculum, aligning perfectly with NCERT guidelines. The easy difficulty level makes it ideal for initial practice, reinforcing classroom learning, or even for parents who wish to guide their children through this essential mathematical concept at home, ensuring a solid grasp of the basics before moving on to more complex problems.

What your child will learn

• Identify the degree of various polynomial expressions.
• Practice finding the zeros of linear and quadratic polynomials.
• Differentiate between linear, quadratic, and cubic polynomials based on their degree.
• Apply basic algebraic operations to simplify polynomial expressions.
• Recognise the relationship between the zeros and coefficients of a quadratic polynomial.

Understanding the concept

Polynomials are fundamental building blocks in algebra. Simply put, a polynomial is an expression consisting of variables and coefficients, involving only operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. For example, 3x² + 2x - 5 is a polynomial where 'x' is the variable, '3', '2', and '-5' are coefficients. The 'degree' of a polynomial is the highest power of the variable in the expression. In our example, the highest power of 'x' is 2, so its degree is 2. A polynomial with degree 1 is called a linear polynomial (like 2x + 7), a degree 2 polynomial is called a quadratic polynomial (like 3x² + 2x - 5), and a degree 3 polynomial is called a cubic polynomial. The 'zeros' of a polynomial are the values of the variable that make the entire polynomial expression equal to zero. For instance, if you have the polynomial x - 2, its zero is 2 because when you substitute x=2, the expression becomes 2-2=0. Finding these zeros is a key skill as it relates to where the graph of the polynomial crosses the x-axis, an important concept in coordinate geometry.

Tips for parents & teachers

• Encourage your child to review their class notes on polynomials before attempting the worksheet.
• Have your child explain each answer to you, reinforcing their understanding of why it's correct.
• Use a timer to help your child practice completing questions efficiently, similar to exam conditions.
• Work through one or two example problems together before your child tackles the rest independently.
• Ensure your child cross-checks their calculations, especially when finding the zeros of quadratic polynomials.

Topics covered

How to use this worksheet at home

Open the print view and use your browser's Print dialog to print on regular A4 paper or save as a PDF. Hand the printed sheet to your child (Class 10) and set a relaxed time limit — 15 to 25 minutes works for most Mathematics worksheets. When they're done, open the "With answer key" view and let them self-mark question by question. Re-print as many times as you need; the file never expires and there's no download limit.

Frequently asked questions

Is this Mathematics worksheet really free?

Yes — every workbook on WorkbookWala is 100% free to download and print. No login, no email, no paywall. We're free for students, parents and teachers.

Is it aligned to the CBSE / NCERT syllabus?

Yes. All Class 10 worksheets are built around the CBSE and NCERT pattern so they map cleanly to what your child is studying in school.

Can I print this worksheet at home?

Yes. Click "Open print view" and use your browser's Print dialog to print on standard A4 paper, or save it as a PDF for later. The layout is designed to fit cleanly without scaling.

Does it include an answer key?

Yes — click "With answer key" to print a version with answers included, so parents and students can self-mark in minutes.