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Polynomials are everywhere. They play a ...

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 cubic polynomial `t (x) = px ^(3) + qx ^(2) + r x + s,` then which of the following is always true

A

`s ne 0`

B

`p ne 0`

C

`q ne 0`

D

`p ne 0`

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ROLLER COASTER POLYNOMIALS 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 path traced by the Roller Coaster is represented by the above graph y = p(x), find the number of zeroes ?

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