Class 10 Maths MCQs Chapter 2 Polynomials

MCQ Class 10 Maths Chapter 2 Polynomials
দশম শ্ৰেণীৰ গণিত অধ্যায় 2 বহুপদ

Important MCQ Class 10 Maths Chapter 2 Polynomials
Question 1: Which of the following is not a polynomials
তলৰ কোনটো ৰাশি বহুপদ নহয়-

Answer: The correct answer is D) 1/(1+y)

Explanation:Since, the exponent present in the expression on the variable is not a whole number.

Question 2: If 2 is a zero of a polynomial ax2-3(a-1)-1, then the value of 'a' is
যদি ax2-3(a-1)-1 ৰ এটা শূন্য 2 হয়, তেন্তে 'a' ৰ মান হ'ব-

Answer: The correct answer is B) -2

Explanation: Since, 2 is a zero of the given polinomials, hence
P(2)=a.(2)2-3(a-1)-1=0
⇒4a-3a+3-1=0
⇒a+2=0
⇒a=-2

Question 3: If one of the zeros of the quadratic polynomial x2+3x+k is 2, then the value of 'k' is
যদি এটা দ্বিঘাত বহুপদ x2+3x+k ৰ এটা শূন্য 2 হয়, তেন্তে 'a' ৰ মান হ'ব-

Answer: The correct answer is B) -10

Explanation: P(2)=22+3.2+k=0
⇒4+6+k=0
⇒k+10=0
⇒k=-10

Question 4: The graph of a quadratic polynomial is a
এটা দ্বিঘাত বহুপদৰ লেখ হ'ব-

Answer: The correct answer is B) Parabola অধিবৃত্ত

Explanation: The graph of a quadratic polynomial is a parabola because it is a two-dimensional curve that represents the relationship between a quadratic function and its variable, resulting in a U-shaped curve due to the square term in the polynomial.

Question 5: If x100+1001 is divided by x+1, then the remainder is
যদি x100+1001 ক x+1 ৰে হৰণ কৰা হয়, তেন্তে ভাগশেষ হ'ব-

Answer: The correct answer is D) 1000

Explanation: Since, x+1 is a factor, hence P(-1)=0
⇒(-1)100+1001=-1+1001=1000

Question 6: If one zero of a polynomial P(x)=ax2+bx+c (a≠0), then, which of the following is correct?
যদি এটা বহুপদ P(x)=ax2+bx+c (a≠0) ৰ এটা শূন্য 0 হয়, তেন্তে, তলৰ নিম্নলিখিত কোনটো শুদ্ধ?

Answer: The correct answer is B) c=0

Explanation: Question 6: If one zero of a polynomial P(x)=ax2+bx+c (a≠0), then, c=0.

Question 7: If one zero of 3x2-8x+2k+1 is seven times the other, then, the value of k is
যদি 3x2-8x+2k+1 ৰ এটা শূন্য আনটোতকৈ সাতগুণ হয়, তেন্তে, k ৰ মান হ'ব-

Answer: The correct answer is A) 2/3

Explanation:Given,
P(x)=3x2-8x+2k+1
Let,
P(x)=ax2+bx+c
Where,
a=3
b=-8
c=2k+1
We know,
α+ß=-b/a ---- (i)
α.ß=c/a ----(ii)
where, α and ß are the zeros P(x)
According to question,
ß=7α
From (i),
α+7α=-(-8)/3
8α=8/3
α=1/3
Again, from (ii),
α.7α=(2k+1)/3
⇒7α2=(2k+1)/3
⇒7.(1/3)2=(2k+1)/3
⇒7. (1/9) = (2k+1)/3
⇒7/3=2k+1
⇒7/3 - 1 =2k
⇒(7-3)/3=2k
⇒4/3=2k
⇒k=2/3
Therefore, the value of k is 2/3.

Question 8: A quadratic polynomial has
এটা দ্বিঘাত বহুপদৰ আছে-

Answer: The correct answer is C) At most 2 zeros সৰ্বোচ্চ দুটা শূন্য

Explanation: A quadratic polynomial has at most 2 zeros.

Question 9: The number of zeros of a cubic polynomial is
ত্ৰিঘাত বহুপদৰ শূন্যৰ সংখ্যা হ'ল-

Answer: The correct answer is D) At most 3 সৰ্বোচ্চ তিনিটা

Explanation: The number of zeros of a cubic polynomial is at most 3 due to the Fundamental Theorem of Algebra, which limits the total roots to the polynomial's degree.

Question 10: The zeros of the polynomial 3x2-48 are
3x2-48 বহুপদৰ শূন্যকেইটা হ'ল-

Answer: The correct answer is B) One positive and one negative এটা ধনাত্মক আৰু এটা ঋণাত্মক

Explanation: The zeros of the polynomial 3x2-48 are ±4.




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