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Solution


Q.

Basketball and soccer are both played with a spherical ball. Although athletes dribble the ball in both sports, a basketball player uses their hands, while a soccer player uses their feet.   of both the soccer ball and the basketball forms a parabola, representing a quadratic polynomial.

Based on the given information, answer the following questions:

 

(iii) Observe the following graph and answer:
 



(b) What will be the expression of the polynomial
1 k ≠ 0  
2 k ≠1  
3 k ≠ 2  
4 k ≠ - 0

Ans.

(1)

From the graph, zeros of the polynomial are −3, −1, and 2.
          Expression of the polynomial will be: f(x) = k(x − (−3))(x − (−1))(x − 2)
          = k(x + 3)(x + 1)(x − 2)
          = k(x³ + 2x² − 5x − 6), where k ≠ 0.