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Solution


Q.

A highway underpass has a parabolic shape. A parabola is the graph that results from p(x) = ax² + bx + c.  Parabolas are symmetric about a vertical line known as the Axis of Symmetry.
The Axis of Symmetry runs through the maximum or minimum point of the parabola, known as the vertex.

Based on the given information, answer the following questions:

 

(i) If the highway overpass is represented by x² - 2x - 8, then find its zeros.
1 4 and -2.  
2 4 and 3.  
3 -4 and -2.  
4 3 and -2.  

Ans.

(1)

Given polynomial is x² - 2x - 8.
⇒ x² - 4x + 2x - 8 (By mid-term splitting)
⇒ x(x - 4) + 2(x - 4)
⇒ (x - 4)(x + 2)
So, the zeros are 4 and -2.