Question 1 :
The zero of the polynomial p(x) = 2x + 5 is-

Question 2 :
The zero of the polynomial p(x) = 3x – 2 is-

Question 5 :
If x – 1 is a factor of $p(x) = kx^2-\sqrt{2}x+1$ , k is-

Question 6 :
Factors of $4x^2+ y^2+ z^2– 4xy – 2yz + 4xz$ are-

Question 11 :
What is the value of p(1) for the polynomial $p(x) = (x – 1) (x + 1)$ ?

Question 12 :
If x – 1 is a factor of $4x^3 + 3x^2 – 4x + k$, then k=____

Question 13 :
Is $x+2$ a factor of $p(x) = x^3 + 3x^2 + 3x + 1$-

Question 14 :
What is the value of p(0) for the polynomial $p(t)=2+t+2t^2-t^3$ ?

Question 15 :
What is the value of p(1) for the polynomial $p(x)=x^3$ ?

Question 20 :
Possible expressions for the length and breadth of rectangle having Area :$ 35y^2 + 13y –12$ are-

Question 21 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1eaf59b460d7261f4fa.JPG' /> From above the image Consider the frequency distribution table which gives the weights of 38 students of a class. Find the probability of a student weighing more than 30 kg.

Question 22 :
Eleven bags of wheat flour, each marked 5 kg, actually contained the following weights of flour (in kg): 4.97, 5.05, 5.08, 5.03, 5.00, 5.06, 5.08, 4.98, 5.04, 5.07, 5.00. Find the probability that any of these bags chosen at random contains more than 5 kg of flour.

Question 23 :
A coin is tossed 1000 times with the following frequencies: Head : 455, Tail : 545. Compute the probability of the event of getting a tail.

Question 24 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1f1f59b460d7261f504.JPG' /> From the above image the data is recorded of 1500 families with 2 children that were selected randomly. Compute the probability of a family, chosen at random, having 1 girl.

Question 25 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1e8f59b460d7261f4f6.JPG' /> Refer to the above image. A die is thrown 1000 times with the frequencies for the outcomes 1, 2, 3,4, 5 and 6 as given in the above image. Find the probabilty of getting outcome 2