anonymous
  • anonymous
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Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
Ray 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
  • anonymous
The 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 third-degree polynomial function that represents the first pattern in the coaster plan. Ray says the third-degree 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
  • anonymous
help!!! please!!!!

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More answers

anonymous
  • anonymous
@ash2326 @Michele_Laino @pinkbubbles
Michele_Laino
  • Michele_Laino
a third-degree polynomial can have at maximum three zeroes
Michele_Laino
  • Michele_Laino
oops.. three real zeroes
anonymous
  • anonymous
its that the answer?
Michele_Laino
  • Michele_Laino
for example, if we have the subsequent polynomial: \[\Large p\left( x \right) = {x^3} - 6{x^2} + 11x - 6\]
Michele_Laino
  • Michele_Laino
we 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
  • Michele_Laino
which show us that there are at maximum three real zeroes
Michele_Laino
  • Michele_Laino
I think that your answer has to contain some examples
anonymous
  • anonymous
someone give me the answer, you wanna check?
Michele_Laino
  • Michele_Laino
ok!
anonymous
  • anonymous
Both 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.
anonymous
  • anonymous
its tha right?
Michele_Laino
  • Michele_Laino
an intercept is not a zero
anonymous
  • anonymous
A)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
  • Michele_Laino
furthermore, the subsequent polynomial: \[\Large q\left( x \right) = {x^3} - x\] has three real zeroes and it has not an y-intercept
anonymous
  • anonymous
LOOK its one of them?
anonymous
  • anonymous
a, or b?
Michele_Laino
  • Michele_Laino
I think that A is the correct one
Michele_Laino
  • Michele_Laino
please wait
anonymous
  • anonymous
ok
Michele_Laino
  • Michele_Laino
I think option B is right, since a third-degree polynomial has three x-intercepts at maximum and only one y-intercept, so 4 intercept in total. The x-intercepts are called the zeroes of the third-degree polybomial
Michele_Laino
  • Michele_Laino
polynomial*
anonymous
  • anonymous
so the answers its b, thank you so much!!!!
Michele_Laino
  • Michele_Laino
:)

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