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anonymous
 one year ago
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anonymous
 one year ago
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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ray and Kelsey have summer internships at an engineering firm. As part of their internship, they get to assist in the planning of a brand new roller coaster. For this assignment, you help Ray and Kelsey as they tackle the math behind some simple curves in the coaster's track.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The first part of Ray and Kelsey's roller coaster is a curved pattern that can be represented by a polynomial function. Ray and Kelsey are working to graph a thirddegree polynomial function that represents the first pattern in the coaster plan. Ray says the thirddegree polynomial has 4 intercepts. Kelsey argues the function can have as many as 3 zeros only. Is there a way for the both of them to be correct? Explain your answer.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@ash2326 @Michele_Laino @pinkbubbles

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1a thirddegree polynomial can have at maximum three zeroes

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1oops.. three real zeroes

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0its that the answer?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1for example, if we have the subsequent polynomial: \[\Large p\left( x \right) = {x^3}  6{x^2} + 11x  6\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1we can easily check that its factorization is: \[\Large p\left( x \right) = \left( {x  1} \right)\left( {x  2} \right)\left( {x  3} \right)\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1which show us that there are at maximum three real zeroes

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1I think that your answer has to contain some examples

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0someone give me the answer, you wanna check?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Both Ray and Kelsey can both be right Ray is right because you can have 4 intercepts, three of them as zeros and one as a y intercept.

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1an intercept is not a zero

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0A)a third degree polynomial can have at most three x intercepts and always has one y intercept. So it can have 4 intercepts. And three zeroes . B) they are both correct because like what nightowl said about it being able to cross the x three time and the y once or depending where the exponents are either on x or y it can cross the y three times and the x once if you are looking for it crossing any and all axis (x and y) then they cross 4 times if a specific axis then it depends on the axis in shorter words the girl is only looking at one axis and the boy all

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1furthermore, the subsequent polynomial: \[\Large q\left( x \right) = {x^3}  x\] has three real zeroes and it has not an yintercept

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0LOOK its one of them?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1I think that A is the correct one

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1I think option B is right, since a thirddegree polynomial has three xintercepts at maximum and only one yintercept, so 4 intercept in total. The xintercepts are called the zeroes of the thirddegree polybomial

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so the answers its b, thank you so much!!!!
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