Polynomial Function Help..........
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Polynomial Function Help..........

[From: ] [author: ] [Date: 12-07-04] [Hit: ]
x=-7,The x-intercepts are -7, 0, and 3 -(1 pt) For the function ,......
(1 pt) For the function , y = x(x - 3) (x + 7)
its y-intercept is y = ____________________
its x-intercepts are x= ______________________


Not really sure how to solve this type of problem.... So if you could provide an explanation for your answer, that would be great. Thank you!

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To find the y-intercept first we have to multiply everything together.
x(x-3)(x+7)
Multiply x(x-3)
(x²-3x)(x+7)
Multiply
x³+4x²-21x
Because there is no constant in this equation the y intercept is 0 <======Answer

Now to find the x-intercepts you need to set each of the factors equal to 0 and solve
x=0, One x-intercept is 0
x-3=0, x=3, One x-intercept is 3
x+7=0, x=-7, One x-intercept is -7
The x-intercepts are -7, 0, and 3 <========Answer

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(1 pt) For the function , y = x(x - 3) (x + 7)
its y-intercept is y = 0(0 - 3) (0 + 7) = 0
its x-intercepts are x =
0 = x(x - 3) (x + 7)
x = 0 or x = -7 or x = 3
1
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