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
Questions 51–75
- 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
✅ Class 9 Polynomials MCQs (61–100)
Questions 61–75
- √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
Questions 76–100
- 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
For better understanding and more practice, check out our other important Class 9 Maths topics and MCQ collections:
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CBSE Class 9th Maths Blueprint, Marking Scheme | Blueprint of Maths class 9 cbse 2025-26