## Polynomials are everywhere. They play a key role in the study of algebra, in analysis and on the whole many mathematical problems involving them. Since, polynomials are used to describe curves of various types engineers use polynomials to graph the curves of roller coasters. ### If the Roller Coaster is represented by the following graph y = p(x) , then name the type of the polynomial it traces. (a) Linear           (b) Quadratic      (c) Cubic   (d) Bi-quadratic  1. Class 10
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Question 46 – 50 are based on Case Study -2 Polynomials are everywhere. They play a key role in the study of algebra, in analysis and on the whole many mathematical problems involving them. Since, polynomials are used to describe curves of various types engineers use polynomials to graph the curves of roller coasters. Question 46 If the Roller Coaster is represented by the following graph y = p(x) , then name the type of the polynomial it traces. (a) Linear (b) Quadratic (c) Cubic (d) Bi-quadratic We know that Number of zeroes is equal to number of times curve intersects the x-axis ∴ Number of zeroes = 3 Now, in general Number of zeros = Power of Polynomial Since this has 3 zeros, the polynomial would look like ax3 + bx2 + cx + d ∴ The polynomial is a cubic polynomial So, the correct answer is (c) 