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.
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
A polynomial is an algebraic expression made up of variables, constants, and exponents.
A linear polynomial is a polynomial with degree 1.
Example: ax+b
The degree of a linear polynomial is: 1
ax+b
where:
The zero of a polynomial is the value of the variable that makes the polynomial equal to zero.
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