CASE STUDY QUESTION 10-Class X-Maths

CASE STUDY QUESTION 10-Class X-Maths

One day, due to heavy storm an electric wire got bent as shown in the figure. It followed some mathematical shape of curve. Answer the following questions below.

(a) How many zeroes are there for the polynomial (shape of the wire)
(i) 2 (ii) 3 (iii) 4 (iv) 5

Answer: (ii) 3

(b) Find the zeroes of the polynomial.
(i) 2, 0, -2 (ii) 2, -2, -5
(iii) -2, 2, -5.5 (iv) None of these

Answer: (iii) -2, 2, -5.5

(c) Find the quadratic polynomial whose zeros are 3 and -4.
(i) x² + 4x + 2 (ii) x² + x – 12
(iii) x² – 7x – 12 (iv) None of these

(d) Name the type of expression of the polynomial in the above graph?
(i) quadratic (ii) cubic (iii) linear (iv) bi-quadratic

Answer: (i)

(e) If one zero of the polynomial x² – 2x – 3 is -4, then find the other zero.
(i) 6 (ii) -6 (iii) 2 (iv) -2