Assignment Details

Polynomials,Real Numbers

1388 minutes

May 31, 6:07 PM

40.0 marks

MCQ

20 questions

Kaushik kumar

I am a trained teacher

Class Details

Science

Ten

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Question Text

Question 1 :
Find the LCM and HCF of the following integer by applying the prime factorisation method: 17, 23 and 29

Question 3 :
Use Euclid's division algorithm to find the HCF of : 135 and 225

Question 4 :
Is it correct, that one and only one out of n, n + 2 and n + 4 is divisible by 3, where n is any positive integer.

Question 5 :
Find the LCM and HCF of the following integer by applying the prime factorisation method: 8, 9 and 25

Question 7 :
State true or false: The product or quotient of a non-zero rational number and an irrational number is irrational.

Question 8 :
How is 156 expressed as a product of its prime factors?

Question 9 :
Use Euclid’s division algorithm to find the HCF of 441, 567, 693.

Question 10 :
The numbers 525 and 3000 are both divisible only by 3, 5, 15, 25 and 75. What is HCF (525, 3000)?

Question 11 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19a51273b23058497991f.png' /> In the image above, the graph of $y=p\left(x\right)$, where $p\left(x\right)$ is a polynomial. Here, find the number of zeroes of $p\left(x\right)$

Question 12 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19a54273b230584979923.png' /> In the image above, the graph of $y=p\left(x\right)$, where $p\left(x\right)$ is a polynomial. Here, find the number of zeroes of $p\left(x\right)$

Question 13 :
Are the numbers given alongside of the cubic polynomials their zeroes? $2x^3+x^2-5x+2$; $\frac{1}{2}$, 1, -2 .

Question 14 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19be7273b230584979a3d.png' /> Look at the graph given above. The graph of $y=p\left(x\right)$, where $p\left(x\right)$ is a polynomial. Here, find the number of zeroes of $p\left(x\right)$.

Question 15 :
3, –1, $-\frac {1}{3}$ are the zeroes of the cubic polynomial $p\left(x\right)=3x^3-5x^2-11x-3$. Is it correct or not?

Question 16 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19be8273b230584979a3e.png' /> Look at the graph given above. The graph of $y=p\left(x\right)$, where $p\left(x\right)$ is a polynomial. Here, find the number of zeroes of $p\left(x\right)$.

Question 17 :
If the polynomial $x^4-6x^3+16x^2-25x+10$ is divided by another polynomial $x^2– 2x+k$, the remainder comes out to be x + a, then k and a are 5 and -5 respectively.

Question 18 :
If the zeroes of the quadratic polynomial $ax^2+bx+c$, $c\ne0$ are equal, then:

Question 20 :
The zeroes of the polynomial $x^4-6x^3-26x^2-138x-35$ are $2\pm \sqrt {3}$, 7, -5.

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