Polynomials is a fundamental chapter in Class 9 Mathematics that builds the base for algebra, equations, and higher-level concepts. In this post, we provide 100 carefully designed MCQs based on the latest 2026 syllabus, covering algebraic expressions, degree of polynomials, linear relationships, graphs, slope, and real-life applications. These questions include conceptual, HOTS, case-study, and assertion-reason types, making this set perfect for exam preparation and revision.
MCQs (1–100)
- An algebraic expression with one term is called:
A. Polynomial
B. Monomial
C. Binomial
D. Trinomial - Which is a polynomial?
A. 1/x
B. √x
C. x² + 2x + 1
D. x⁻¹ - Degree of 5x³ + 2x² + x:
A. 1
B. 2
C. 3
D. 5 - Number of terms in x² + x + 1:
A. 1
B. 2
C. 3
D. 4 - Coefficient of x² in 7x² − 3x + 5:
A. 7
B. −3
C. 5
D. 2 - Constant term in 4x³ + 2x − 6:
A. 4
B. 2
C. −6
D. 0 - Degree of constant 9:
A. 0
B. 1
C. 9
D. Undefined - Linear polynomial has degree:
A. 0
B. 1
C. 2
D. 3 - Which is binomial?
A. x
B. x + 1
C. x² + x + 1
D. 5 - Which is trinomial?
A. x + 1
B. x² + x + 1
C. x²
D. 3x - Degree of 7x⁴ − x² + 3:
A. 2
B. 3
C. 4
D. 5 - Which is not a polynomial?
A. x² + x
B. 2x³
C. 1/x
D. 5 - Term with highest power gives:
A. Coefficient
B. Degree
C. Variable
D. Constant - Degree of zero polynomial:
A. 0
B. 1
C. Not defined
D. Infinite - Which is linear polynomial?
A. x²
B. 2x + 3
C. x³
D. 5
👉 Student Tip: Always check powers of variables — only whole number powers are allowed in polynomials.
- Coefficient of x in 4x + 7:
A. 4
B. 7
C. 11
D. 1 - y = 3x represents:
A. Growth
B. Decay
C. Constant
D. Curve - y = −2x represents:
A. Growth
B. Decay
C. Constant
D. Curve - In y = ax + b, ‘a’ is:
A. Intercept
B. Slope
C. Constant
D. Variable - In y = ax + b, ‘b’ is:
A. Slope
B. Intercept
C. Degree
D. Variable - Positive slope means:
A. Decreasing
B. Increasing
C. Constant
D. Zero - Negative slope means:
A. Increasing
B. Decreasing
C. Constant
D. Zero - If slope = 0, line is:
A. Vertical
B. Horizontal
C. Curve
D. Inclined - Equation of horizontal line:
A. x = constant
B. y = constant
C. y = mx
D. None - Equation of vertical line:
A. x = constant
B. y = constant
C. y = mx
D. mx + b
👉 Exam Tip:
- Horizontal line → slope = 0
- Vertical line → slope undefined
- Graph of linear equation is:
A. Curve
B. Straight line
C. Circle
D. Parabola - Degree of 2x + 5:
A. 0
B. 1
C. 2
D. 5 - Constant polynomial:
A. x
B. 5
C. x²
D. x + 1 - Number of terms in 5x:
A. 1
B. 2
C. 3
D. 0 - Which is not linear?
A. y = 2x + 3
B. y = x²
C. y = −x
D. y = 5x - Degree of x⁵:
A. 3
B. 4
C. 5
D. 6 - Polynomial must have:
A. Negative powers
B. Whole number powers
C. Fractions
D. Roots - Valid polynomial:
A. √x
B. x⁻²
C. x² + x
D. 1/x - Graph of y = 2x passes through:
A. Origin
B. (1,1)
C. (2,1)
D. (1,2) - y-intercept is point on:
A. x-axis
B. y-axis
C. Origin
D. None
👉 Smart Trick:
If equation is y = mx + c, then point (0, c) is always on graph.
- If b = 0, line passes through:
A. Origin
B. (1,0)
C. (0,1)
D. None - Slope formula is:
A. x/y
B. y/x
C. Δy/Δx
D. Δx/Δy - Linear pattern increases by:
A. Constant difference
B. Multiplication
C. Division
D. Random - Linear relation forms:
A. Curve
B. Straight line
C. Circle
D. Triangle - Degree of polynomial gives:
A. Shape
B. Colour
C. Size
D. Length - Monomial example:
A. 2x²
B. x + 1
C. x² + x
D. x² + x + 1 - Polynomial cannot have:
A. Variables
B. Constants
C. Negative powers
D. Coefficients - Binomial has:
A. 1 term
B. 2 terms
C. 3 terms
D. 4 terms - Linear equation has:
A. 1 variable
B. 2 variables
C. 3 variables
D. None - Graph of y = −x slopes:
A. Upward
B. Downward
C. Horizontal
D. Vertical
👉 Important Concept:
Positive slope → rising line
Negative slope → falling line
- Constant polynomial graph is:
A. Vertical
B. Horizontal
C. Curve
D. Circle - Degree of 9:
A. 0
B. 1
C. 9
D. Undefined - Trinomial example:
A. x² + x + 1
B. x + 1
C. x
D. 5 - Linear equation represents:
A. Line
B. Curve
C. Circle
D. Parabola - Polynomial must not include:
A. Variables
B. Constants
C. Negative exponents
D. Coefficients
- Find the expression which when added to a² − 3a gives 2a² + 4a:
A. a² + 7a
B. a² − 7a
C. −a² + 7a
D. −a² − 7a - How much should be subtracted from x² + 2x − 3 to get −2x² + x + 1?
A. 3x² + x − 4
B. −3x² − x + 4
C. x² − 3x + 2
D. −x² + 3x − 2 - What must be added to xy + yz + zx to obtain −xy − yz − zx?
A. −2xy − 2yz − 2zx
B. 2xy + 2yz + 2zx
C. −xy − yz − zx
D. 0 - Identify the polynomial:
A. x²/2 − 2/x²
B. √(2x) − 1
C. x² + 3x
D. (x − 1)/(x + 1) - Degree of polynomial 4x⁴ + 5x + 7 is:
A. 4
B. 5
C. 3
D. 7 - Degree of zero polynomial is:
A. 0
B. 1
C. Any number
D. Not defined - √2 is a polynomial of degree:
A. 0
B. 1
C. 2
D. 1/2 - Zeroes of zero polynomial are:
A. 0
B. 1
C. All real numbers
D. Not defined - If f(x) = x + 3, then f(x) + f(−x) equals:
A. 3
B. 2x
C. 0
D. 6 - Which of the following is a polynomial function?
A. x + 1/x
B. (x − 1)(x − 3)/x
C. (x + 2)/(x + 1)
D. 2x² + 5x³
- √3 is a polynomial of degree:
A. 2
B. 0
C. 1
D. 1/2 - Which of the following is a polynomial?
A. x⁻² + 2x + 3
B. x + x⁻¹ + 5
C. 2x⁻¹
D. 0 - If y = mx + c and m > 0, the graph represents:
A. Linear growth
B. Linear decay
C. Quadratic growth
D. Quadratic decay - Identify the relation from table:
x: −2, −1, 0, 1
y: 7, 4, 1, −2
A. Linear growth
B. Linear decay
C. Exponential growth
D. Exponential decay - For equation y = −3x + 12, the relation is:
A. Linear growth
B. Linear decay
C. Constant
D. Exponential - Like terms must have same:
A. Coefficients
B. Variables and powers
C. Constants
D. Signs - Which is not a monomial?
A. 3x⁴
B. ab
C. x²y
D. 2x² + 1 - Sum of coefficients of 3a²b and −2ab² is:
A. 5
B. −1
C. 1
D. −6 - Coefficient of x² in (5/3)x²y is:
A. 5/3
B. −5/3
C. 5/3 y
D. −5/3 y - If coefficients of x² in −x², 2x² + x, and 2x − x² are a, b, c respectively, then a + b + c =
A. 0
B. −2
C. 2
D. −1 - Sum of coefficients in 2x²y − 3xy² + 4xy is:
A. −3
B. 3
C. 9
D. 5 - Product of coefficients in −4/3 ab² + 1/4 bc² + 3ca² is:
A. 1
B. 1/2
C. −1
D. 3 - If sum and product of coefficients of x² + y² + z² − xy − yz − zx are a and b, then a + 2b =
A. 0
B. 2
C. −2
D. −1 - If P = 3x³ + 3x² + 3x + 3 and Q = 3x² − 3x + 3, then P − Q =
A. 3x³
B. 3x³ + 6x² + 6x + 6
C. 6x² + 6x + 6
D. 3x³ + 6x - Find the sum of values of 2x² + 2x + 2 for x = −1 and x = 1:
A. 6
B. 8
C. 4
D. 2
- What must be added to 3x² + 4 to get 9x² − 7?
A. 6x² − 11
B. 6x² + 11
C. 12x² − 11
D. 12x² + 11 - Assertion (A): A polynomial can have fractional powers.
Reason (R): Polynomial powers must be whole numbers.
A. Both A and R true
B. A true, R false
C. A false, R true
D. Both false - Assertion (A): Degree of 5 is 0.
Reason (R): Constant polynomial has degree 0.
A. Both true
B. A true, R false
C. A false, R true
D. Both false - Assertion (A): x² + x + 1 is a trinomial.
Reason (R): It has three unlike terms.
A. Both true
B. A true, R false
C. A false, R true
D. Both false - Assertion (A): y = 2x + 3 shows linear growth.
Reason (R): Coefficient of x is positive.
A. Both true
B. A true, R false
C. A false, R true
D. Both false - If slope of line is −5, the graph will be:
A. Increasing
B. Decreasing
C. Horizontal
D. Vertical - A company increases production by 5 units every day. Which equation models this?
A. y = 5x
B. y = x²
C. y = 5/x
D. y = 5 - Temperature decreases by 2°C every hour. Equation is:
A. y = 2x
B. y = −2x
C. y = x²
D. y = −x² - If y-intercept is 4, equation may be:
A. y = 2x + 4
B. y = 4x
C. y = x² + 4
D. y = −x - Which graph passes through origin?
A. y = 3x
B. y = 3x + 2
C. y = x²
D. y = 5 - Polynomial representing constant value:
A. y = 5x
B. y = 5
C. y = x²
D. y = −x - If degree increases, graph becomes:
A. Simpler
B. More curved
C. Straight line
D. Constant - Which has highest degree?
A. x³
B. x²
C. x⁵
D. x⁴ - If slope = 0, graph is parallel to:
A. x-axis
B. y-axis
C. origin
D. diagonal - Equation y = −x + 2 intersects y-axis at:
A. 0
B. 2
C. −2
D. 1 - If y = ax + b and a = 0, then graph is:
A. Increasing line
B. Constant line
C. Curve
D. Vertical line - Salary increases ₹2000 monthly starting ₹10000. Equation is:
A. y = 2000x + 10000
B. y = 10000x + 2000
C. y = x² + 10000
D. y = 2000/x - Polynomial must not include:
A. Variables
B. Whole exponents
C. Negative powers
D. Constants - Which is quadratic polynomial?
A. x² + 1
B. x + 1
C. x³
D. 5 - Degree of x² + 5x³ + x is:
A. 1
B. 2
C. 3
D. 5 - If graph slopes upward left to right, slope is:
A. Positive
B. Negative
C. Zero
D. Undefined - If slope undefined, line is:
A. Horizontal
B. Vertical
C. Curve
D. Inclined - Which represents linear decay?
A. y = −4x
B. y = 4x
C. y = x²
D. y = 5 - Number of zeroes of linear polynomial is:
A. 0
B. 1
C. 2
D. Infinite - Graph of y = mx + c is always:
A. Straight line
B. Curve
C. Circle
D. Parabola
✅ Final Answer Key (1–100)
1-B, 2-C, 3-C, 4-C, 5-A, 6-C, 7-A, 8-B, 9-B, 10-B,
11-C, 12-C, 13-B, 14-C, 15-B,
16-A, 17-A, 18-B, 19-B, 20-B,
21-B, 22-B, 23-B, 24-B, 25-A,
26-B, 27-B, 28-B, 29-A, 30-B,
31-C, 32-B, 33-C, 34-A, 35-B,
36-A, 37-C, 38-A, 39-B, 40-A,
41-A, 42-C, 43-B, 44-B, 45-B,
46-B, 47-A, 48-A, 49-A, 50-C,
51-A, 52-B, 53-A, 54-C, 55-A,
56-D, 57-A, 58-C, 59-D, 60-D,
61-B, 62-D, 63-A, 64-B, 65-B,
66-B, 67-D, 68-C, 69-C, 70-A,
71-B, 72-C, 73-A, 74-D, 75-A,
76-A, 77-C, 78-A, 79-A, 80-A,
81-B, 82-A, 83-B, 84-A, 85-A,
86-B, 87-B, 88-C, 89-A, 90-B,
91-B, 92-A, 93-C, 94-A, 95-C,
96-A, 97-B, 98-A, 99-B, 100-A
To strengthen your preparation further, explore more important chapters and practice sets from Class 9 Mathematics below:
Class 9 Number System MCQs (70 Questions with Answers) – CBSE 2026–27
Mathematics Activity: 35+ Fun Maths Riddles with Answers (Class 6–10)
Class 9 Coordinate Geometry MCQs (Top 50 Questions with Answers PDF)
Class 9 Maths Final Exam Paper 2026 | CBSE Question Paper PDF with Solutions
CBSE Class 9th Maths Blueprint, Marking Scheme | Blueprint of Maths class 9 cbse 2025-26
Frequently Asked Questions (FAQs)
1. What is a polynomial in Class 9 Maths?
A polynomial is an algebraic expression made up of variables, coefficients, and whole number exponents, such as x2+3x+1.
2. What is the degree of a polynomial?
The degree of a polynomial is the highest power of the variable in the expression. For example, in 5×3+2x, the degree is 3.
3. How many types of polynomials are there?
Polynomials are classified based on the number of terms:
- Monomial (1 term)
- Binomial (2 terms)
- Trinomial (3 terms)
4. What is a linear polynomial?
A linear polynomial is a polynomial of degree 1, such as 2x+3.
5. How do you identify a polynomial?
An expression is a polynomial if:
- Powers of variables are whole numbers
- No variable appears in denominator or root
6. What is the zero of a polynomial?
A zero of a polynomial is the value of the variable for which the polynomial becomes equal to zero.
7. Why are MCQs important for Class 9 Polynomials?
MCQs help students:
- Practice concepts quickly
- Improve speed and accuracy
- Prepare for school exams and competitive tests
8. Are these MCQs based on the latest 2026 pattern?
Yes, these questions are designed according to the latest CBSE pattern (2026) including HOTS, case study, and assertion-reason questions.
9. How can I score full marks in Polynomials?
To score well:
- Understand concepts clearly
- Practice different types of questions
- Revise formulas and examples regularly
10. Where can I get more Class 9 Maths MCQs?
You can explore other chapters like Number System, Coordinate Geometry, and Linear Equations for more practice sets on our website.