Question

You went to an amusement park with your friends and were fascinated to see the roller coaster. One of your
friends said that the shape of the roller coaster is similar to graphical representation of polynomials. How does the
concept of polynomials work in roller coasters ?

Please answer fast
Written on copy plz.

Answer 1

Answer:

The rise and fall of polynomial values make them ideal for modeling functions that rise and fall. An exciting example of this is a roller coaster. As you rush through the drops and turns of a roller coaster, you are feeling the effects of changing gravity.

Answer 2

Step-by-step explanation:

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.

1. 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 $\sqrt{}$

Answer - 1 .Cubic

2. The Roller Coasters are represented by the following graphs y=p(x). Which Roller Coaster has more than three distinct zeroes?

Answer 2. Four Zeroes as the curve intersects the x-axis at 4 points

3. If the Roller Coaster is represented by the cubic polynomial t(x)= px3+qx2+rx+s ,then which of the following is always true

(a) s≠0

(b) r≠0

(c) q≠0

(d) p≠0 $\sqrt{}$

3. Correct answer is: (d) p≠0 p≠0 4.

4. If the path traced by the Roller Coaster is represented by the graph y=p(x), find the number of zeroes?

(a) 0

(b) 1

(c) 2

(d) 3 $\sqrt{}$

4. Correct answer is: (d) 3 ,3 Zeroes as the curve intersects the x-axis at 3 points

5.If the path traced by the Roller Coaster is represented by the above graph y=p(x), find its zeroes?

(a) -3, -6, -1

(b) 2, -6, -1

(c) -3, -1, 2$\sqrt{}$

(d) 3, 1, -2

5. Correct answer is: (c) -3, -1, 2