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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:

 

(iii) (b) Highway Underpass whose one zero is 6 and sum of the zeros is 0, then write the polynomial.
1 x² - 36  
2 x² - 35  
3 x² - 34  
4 x² - 31  

Ans.

(2)

The zeros of the polynomial are 6 and -6.
So, the required polynomial is (x - 6)(x + 6) = x² - 36