Class 10 Maths Chapter 2 Polynomials Most Important Questions By PW

Polynomials in Class 10 Maths can seem simple at first, but the real challenge begins when questions require application rather than direct formulas.

It’s easy to lose marks on small steps or misinterpret what the question demands, especially under exam pressure.

Physics Wallah’s curated set of the most important questions for Chapter 2 is designed to address this gap. Focusing on key concepts, it helps you practise with purpose.

The goal is not just more practice, but the right practice, so you can solve questions more accurately and feel prepared during your board exam.

Q1. The zeroes of the polynomial x² + (1/6)x − 2

A) −3, 4
B) −3/2, 4/3
C) 3/2, −4/3
D) -4/3, -3/2 

Correct option:  B). −3/2, 4/3

Q2. If α and β are the zeroes of the quadratic polynomial
p(x) = x² − (k + 6)x + 2(2k − 1), then the value of k, if

α + β = (1/2) αβ, is:

 A) -1
B). 7
C) −3
D). 3

Correct option:  B).  7

Q3. If α and β are the zeroes of the quadratic polynomial
p(x) = x² − ax − b, then the value of α² + β² is:

 A.) a² − 2b
B). b² − 2a
C) a² + 2b
D). b² + 2a

Correct Answer:  C) a² + 2b

Q4. The zeros of the quadratic polynomial x² + 88x + 125 are

A) Both positive

B) Both negative

C) One positive & one negative

D) Both equal

Correct Answer:  B) Both negative

Q5. What should be added to the polynomial x² − 5x + 4 so that 3 is a zero of the resulting polynomial?

A) 1

B) 2

C)4

D)5

Correct option: B) 2

Q6. The number of polynomials having -2 and 5 as zeros is:

A)1

B)2

C)3

D) infinitely many

Correct option: D) infinitely many

For more MIQs with step-by-step solutions and explanations:

By practising these Class 10th Maths MIQs, you strengthen the exact concepts that are frequently tested in exams.

Focus on understanding the relationships between Zeros and Coefficients, apply Factorisation carefully, and double-check calculations. When you revise these high-yield questions regularly, you build speed, accuracy, and confidence.