CBSE Class 10 Maths (Standard) 2023 · Paper 30/C/1 · Question 37

Polynomials 4 marks Medium

Case Study - 2: While playing in a garden, Samaira saw a honeycomb and asked her mother what it is. Her mother replied that it is a honeycomb made by honey bees to store honey. Also, she told her that the shape of the honeycomb formed is a mathematical structure. The mathematical representation of the honeycomb is shown in the graph (an upward parabola crossing the

x

-axis at

(- 7, 0)

and

(7, 0)

). Based on the above information, answer the following questions:

(i)How many zeroes are there for the polynomial represented by the graph given?
(ii)Write the zeroes of the polynomial. (iii)(a) If the zeroes of a polynomial $x^{2} + (a + 1) x + b$ are $2$ and $- 3$ , then determine the values of $a$ and $b$ . OR (iii)(b) If the square of difference of the zeroes of the polynomial $x^{2} + p x + 45$ is $144$ , then find the value of $p$ .

Upward parabola with x-intercepts (-7,0) and (7,0).

Answer

(i) 2 zeroes; (ii) -7 and 7; (iii)(a) a=0, b=-6; (iii)(b) p = +/-18.

🔒 Step-by-step solution

From the board paper

CBSE Class 10 Maths (Standard) 2023 · Paper 30/C/1, Question 37 — all 38 questions with answers →

CBSE Class 10 Maths (Standard) 2023 · Paper 30/C/1 · Question 37

Answer

From the board paper

More questions from Polynomials