Class 9 Maths MCQs for Chapter 2 Introduction to Linear Polynomials With Answers PDF

MCQs for Class 9 Maths Chapter 2 Introduction to Linear Polynomials are available here with solved answers. These questions are made according to the latest CBSE syllabus and NCERT textbook. Practising them can help students understand the chapter better and score well in the exam. Students can also download a free PDF for extra practice and revision. 

Class 9 Maths MCQs for Chapter 2 Introduction to Linear Polynomials

Question 1: A polynomial having degree 1 is called:

Options:

(A). Constant polynomial

(B). Linear polynomial

(C). Quadratic polynomial

(D). Cubic polynomial

Correct Answer: (B). Linear polynomial

Explanation: A polynomial whose highest power of the variable is 1 is called a linear polynomial.

Question 2: Which of the following is a linear polynomial?

Options:

(A). x² + 3x + 1

(B). 2x + 5

(C). x³ - 4

(D). 5x²

Correct Answer: (B). 2x + 5

Explanation: The highest exponent of x in 2x + 5 is 1.

Question 3: What is the degree of the polynomial 7x + 9?

Options:

(A). 0

(B). 1

(C). 2

(D). 3

Correct Answer: (B). 1

Explanation: The highest power of x is 1.

Question 4: Which expression is not a polynomial?

Options:

(A). x² + 5x + 2

(B). 3x - 7

(C). 1/x + 2

(D). 4x³ + 1

Correct Answer: (C). 1/x + 2

Explanation: A polynomial cannot contain variables in the denominator.

Question 5: The zero of the polynomial x - 4 is:

Options:

(A). 0

(B). 1

(C). 4

(D). -4

Correct Answer: (C). 4

Explanation: Substituting x = 4 gives 4 - 4 = 0.

Question 6: How many zeros can a linear polynomial have?

Options:

(A). No zero

(B). One zero

(C). Two zeros

(D). Three zeros

Correct Answer: (B). One zero

Explanation: A linear polynomial always has one zero.

Question 7: Which of the following is a constant polynomial?

Options:

(A). x + 1

(B). x²

(C). 5

(D). 2x - 3

Correct Answer: (C). 5

Explanation: A constant polynomial does not contain any variable.

Question 8: The graph of a linear polynomial is always a:

Options:

(A). Circle

(B). Curve

(C). Straight line

(D). Triangle

Correct Answer: (C). Straight line

Explanation: A polynomial of degree 1 forms a straight-line graph.

Question 9: Find the zero of the polynomial 2x + 6.

Options:

(A). 3

(B). -3

(C). 6

(D). -6

Correct Answer: (B). -3

Explanation: 2x + 6 = 0 2x = -6 x = -3

Question 10: Which of the following is a quadratic polynomial?

Options:

(A). x + 2

(B). 3x³ + 1

(C). x² + 5x + 6

(D). 7

Correct Answer: (C). x² + 5x + 6

Explanation: A quadratic polynomial has degree 2.

Question 11: What is the degree of the polynomial 9?

Options:

(A). 0

(B). 1

(C). 2

(D). Undefined

Correct Answer: (A). 0

Explanation: A non-zero constant polynomial has degree 0.

Question 12: The polynomial 5x³ - 2x + 1 is a:

Options:

(A). Linear polynomial

(B). Quadratic polynomial

(C). Cubic polynomial

(D). Constant polynomial

Correct Answer: (C). Cubic polynomial

Explanation: The highest power of x is 3.

Question 13: Which term of the polynomial 3x + 7 is the constant term?

Options:

(A). 3x

(B). x

(C). 7

(D). 3

Correct Answer: (C). 7

Explanation: The term without a variable is called the constant term.

Question 14: Find the value of the polynomial x + 5 at x = 2.

Options:

(A). 5

(B). 6

(C). 7

(D). 8

Correct Answer: (C). 7

Explanation: 2 + 5 = 7

Question 15: The number of terms in the polynomial x² + 3x + 2 is:

Options:

(A). 1

(B). 2

(C). 3

(D). 4

Correct Answer: (C). 3

Explanation: The polynomial contains three terms.

Question 16: Which polynomial has degree 2?

Options:

(A). x + 1

(B). x² + 4

(C). x³ + 5

(D). 9

Correct Answer: (B). x² + 4

Explanation: The highest exponent is 2.

Question 17: A polynomial with three terms is called:

Options:

(A). Monomial

(B). Binomial

(C). Trinomial

(D). Constant polynomial

Correct Answer: (C). Trinomial

Explanation: A polynomial having three terms is known as a trinomial.

Question 18: Which of the following is a monomial?

Options:

(A). x + 1

(B). x² + 2x

(C). 5x

(D). x² + x + 1

Correct Answer: (C). 5x

Explanation: A monomial contains only one term.

Question 19: Find the zero of the polynomial x + 9.

Options:

(A). 9

(B). -9

(C). 1

(D). 0

Correct Answer: (B). -9

Explanation: x + 9 = 0 x = -9

Question 20: The polynomial 4x² - 1 has degree:

Options:

(A). 1

(B). 2

(C). 3

(D). 0

Correct Answer: (B). 2

Explanation: The highest power of x is 2.

Question 21: Which of the following is a binomial?

Options:

(A). x² + 3x

(B). x² + 3x + 1

(C). 5x

(D). 8

Correct Answer: (A). x² + 3x

Explanation: A polynomial with two terms is called a binomial.

Question 22: What is the value of 2x + 3 when x = 4?

Options:

(A). 7

(B). 8

(C). 10

(D). 11

Correct Answer: (D). 11

Explanation: 2 × 4 + 3 = 11

Question 23: Which polynomial is of degree 3?

Options:

(A). x + 1

(B). x² + 4

(C). x³ - 2

(D). 5

Correct Answer: (C). x³ - 2

Explanation: The highest power of x is 3.

Question 24: The zero of a polynomial is the value of the variable for which the polynomial becomes:

Options:

(A). 1

(B). Infinite

(C). Zero

(D). Negative

Correct Answer: (C). Zero

Explanation: A zero makes the polynomial equal to zero.

Question 25: Which of the following represents a polynomial in one variable?

Options:

(A). x² + 3x + 1

(B). xy + 2

(C). x + y + z

(D). 1/x

Correct Answer: (A). x² + 3x + 1

Explanation: It contains only one variable, x.

Download PDF - MCQs for Class 9 Maths Chapter 2 Introduction to Linear Polynomials

Frequently Asked Questions on Class 9 Maths MCQs for Chapter 2 Introduction to Linear Polynomials

1. What is a polynomial in Maths?

A polynomial is an algebraic expression made up of variables, constants, and exponents.

2. What is a linear polynomial?

A linear polynomial is a polynomial with degree 1.

Example: ax+b

3. What is the degree of a linear polynomial?

The degree of a linear polynomial is: 1

4. What is the standard form of a linear polynomial?

ax+b

where:

  • a≠0
  •   a and b are constants

5. What is the zero of a polynomial?

The zero of a polynomial is the value of the variable that makes the polynomial equal to zero.

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