Q.

Amit and Rahul decided to ride a new roller coaster. While waiting in line, Rahul notices that part of this roller coaster resembles the graph of a polynomial function that they have been studying in their maths class.

Based on the given information, answer the following questions:

 

(i) The brochure for the roller coaster says that, for the first 10 seconds of the ride, the height of the coaster can be determined by h(t) = 0.3t³ − 5t² + 21t, where t is the time in seconds and h is the height in feet. Classify this polynomial by degree and by number of terms.

1 3  
2 2  
3 1  
4 0  

Ans.

(1)

We have polynomial h(t) = 0.3t³ − 5t² + 21t.
It is a degree 3 polynomial (cubic polynomial) having three terms (trinomial).