Question 1 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19c1b273b230584979a78.PNG' /> The lengths of 40 leaves of a plant are measured correct to the nearest millimetre, and the data obtained is represented in the above table. Find the median length of the leaves

Question 2 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19c14273b230584979a70.PNG' /> 100 surnames were randomly picked up from a local telephone directory and the frequency distribution of the number of letters in the English alphabets in the surnames was obtained as given above. Determine the mean number of letters in the surnames.

Question 3 :
<img style='object-fit:contain' src='61b19a85273b230584979938' /> Consider the above distribution of daily wages of 50 workers of a factory. Find the mean daily wages of the workers of the factory by using appropriate method.

Question 4 :
On dividing $x^3-3x^2+x+2$ by a polynomial $g\left(x\right)$, the quotient and remainder were $x–2$ and $–2x+4$, respectively. Then $g\left(x\right)$ is $x^2-x+1$.

Question 5 :
If the remainder on division of $x^3+2x^2+kx+3$ by $x-3$ is 21, find the zeroes of the cubic polynomial $x^3+2x^2+kx-18$.

Question 6 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19a52273b230584979920.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 7 :
Given that the zeroes of the cubic polynomial $x^3-6x^2+3x+10$ are of the form a, a+b, a+2b for some real numbers a and b, find the zeroes of the given polynomial.

Question 8 :
Find a quadratic polynomial whose sum and product respectively of the zeroes are as given: $-\frac{3}{2\sqrt{5}}$, $-\frac{1}{2}$

Question 10 :
Find the zeroes of the quadratic polynomial using the given sum and product respectively of the zeroes: $-2\sqrt{3}$, -9

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 :
Divide the polynomial $p\left(x\right)$ by the polynomial $g\left(x\right)$ and find the quotient and remainder in the following : $p\left(x\right)$ = $x^4–5x+6$, $g\left(x\right)$ = $2-x^2$

Question 13 :
If p(x) is a polynomial in x, the highest power of x in p(x) is called the degree of the polynomial p(x). TRUE or FALSE ?