SEBA Class IX Mathematics Chapter 2 MCQ Assamese Medium

Question 1: তলৰ কোনটো এক চলকযুক্ত বহুপদ? (Which of the following is a one variable polynomials?)

A. x+1

B. \( 2x^2+ \LARGE \frac{1}{x} \)

C.  \( 4 \sqrt{x} + 3  \)

D.  \( 3x^2y \)

Correct Option: A. x+1

Question 2: তলৰ কোনটো বহুপদ নহয়? (Which of the following is not a polynomial?)

A. \( \frac{3x+2}{5} \)

B. \( 6x^2 - 5 \sqrt[3]{x} + 9 \)

C. \( 3x^2yz \)

D. \( - \frac{2}{3} \) 

Correct Option: B. \( 6x^2 - 5 \sqrt[3]{x} + 9 \)

Question 3: তলৰ কোনটো এটা চলকযুক্ত বহুপদ? (Which of the following is a one variable polynomials?

A. 2xy

B. \( 3x^2 - 4x + 1 \)

C. x + y

D. \( 10x - 11y^{\LARGE \frac{1}{2}} \)

Correct Option: B. \( 3x^2 - 4x + 1 \)

Question 4: তলৰ কোনটো এটা চলকযুক্ত ৰৈখিক বহুপদ? (Which of the following is a one variable linear polynomial?)

A. 2x+3

B. \( 4x^2 \)

C. 7

D. 2xy

Correct Option: A. 2x+3

Question 5: তলৰ কোনটো দ্বিঘাত বহুপদ? (Which one of the following is a Quadratic Polynomial?)

A. \(3x^3\)

B. \(5x^2-x+1\)

C. 3x+1

D. 10

Correct Option: B. \(5^2-x+1\)

Question 6: তলৰ কোনটো ত্ৰিঘাত বহুপদ নহয়? (Which one of the following is not a Cubic Polynomial ?)

A. \( 4x^2y \)

B. \(3x^3\)

C. \(5x^3-6^4+6\)

D. \(x^3-x^2+x+1\)

Correct Option: A. \( 4x^2y \)

Question 7: তলৰ কোনটো ধ্ৰুৱক বহুপদ? (Which one of the following a constant polynomial?) 

A. 7x

B. -11

C. x-5

D. \(x^3\)

Correct Option: B. -11

Question 8: \(3x-6x^2+x^3-20 \) বহুপদটোৰ মাত্ৰা  (The degree of the polynomial \(3x-6x^2+x^3-20 \) is)

A. 0

B. 1

C. 2

D. 3

Correct Option: D. 3

Question 9: \(4x^3-6x^2+x-7\) বহুপদত x ৰ সহগ - ( The co-efficient of x on the polynomial \(4x^3-6x^2+x-7\) is)

A. 4

B. -6

C. 1

D. -7

Correct Option: C. 1

Question 10: P(x)= x+3 হ'লে P(-3)=? ( P(x)= x+3 then P(-3)=? )

A. 0

B. 6

C. -6

D. -9

Correct Option: A. 0
Explanation: Since, P(x)= x+3 ⇒P(-3)= (-3)+3=0

Question 11: \(x^2-9\) বহুপদটোৰ এটা শূন্য হ'ল - (The zero of the polynomial \(x^2-9\) is)

A. 0

B. 3

C. 9

D. -9

Correct Option: B. 3
Explanation: \(x^2-9\)=0 ⇒\(x^2\)=9 ⇒x=\(\sqrt{9}\) ⇒x=3

Question 12: P(y) বহুপদক y-1 ৰে হৰণ কৰিলে ভাগশেষ হ'ব (When divided by y-1, the remainder for the polynomial P(y) will be)

A. P(x)

B. P(a)

C. P(1)

D. P(-1)

Correct Option: C. P(1)

Question 13: x-p বহুপদটো P(x) বহুপদৰ এটা উৎপাদক হ'ব যদিহে (x-p will be a factor of the polynoimial P(x) if)

A. P(x)=0

B. P(p)=0

C. P(-p)=0

D. P(x)=P(-p)

Correct Option: B. P(p)=0

Question 14: \((569)^2-(568)^2\) =?

A. 569

B. 568

C. 1

D. 1137

Correct Option: D. 1137
Explanation: Formula: \(a^2-b^2=(a+b)(a-b)\)
Therefore, \((569)^2-(568)^2\) = (569+568)(569-568) = 1137×1 = 1137

Question 15: x+1 বহুপদটো তলৰ কোনটো বহুপদৰ এটা উৎপাদক (For which one polynomial x+1 is a factor?)

A. \(x^2+1 \)

B. \(x^2-1 \)

C. 2x+1

D. 2x-1

Correct Option: B. \(x^2-1 \)
Explanation: Since, \((x^2-1) = (x+1)(x-1)\)

Question 16: \( (x+3)^3 \) ৰ বিস্তাৰত \(x^3\) ৰ সহগ হ'ব (On expansion of  \( (x+3)^3 \), the coefficient of \(x^3\) will be  )

A. 1

B. 3

C. 9

D. 27

Correct Option: A. 1
Explanation: Formula: \((a+b)^3=a^3+3a^2b+3ab^2+b^3\)
Therefore, \((x+3)^3=x^3+3.x^2.3+3.x.3^2+3^2\)
Where, co-efficient of \(x^3\) is 1.

Question 17: \(3x-4x^3+x^2+1\) ৰ মাত্ৰা ( The degree of  \(3x-4x^3+x^2+1\) is )

A. 0

B. 1

C. 2

D. 3

Correct Option: D. 3
Explanation: The degree of a polynomial is the highest power of the variable in a polynomial.
Here, in the given polynomial the highest power of x variable is 3.
So, The degree of the polynomial is 3.

Question 18: x+y বহুপদেৰে P(x) ক হৰণ কৰিলে ভাগশেষ হ'ব (Dividing the polynomial P(x) by the polynomial x+y, the remainder will be)

A. P(-y)

B. P(y)

C. P(1)

D. P(a)

Correct Option: A. P(-y)

Question 19: x+r, P(x) বহুপদৰ এটা উৎপাদক যদিহে (x+r will be a factor the the polynomial P(x) if)

A. P(-r)=0

B. P(r)=0

C. P(a)=0

D. ওপৰৰ এটাও নহয় (None of the above)

Correct Option: A. P(-r)=0

Question 20: \((a-b)^2=a^2-2ab+\)         

A. \(-b^2\)

B. \(b^2\)

C. \(b^3\)

D. ওপৰৰ এটাও নহয় (None of the above)

Correct Option: B. \(b^2\)