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OpenStudy (anonymous):
Find a cubic function with the given zeros.
-7, 5, -3
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OpenStudy (anonymous):
you know these are zeros
this means
(x-a)(x-b)(x-c)=0
x= -7,5,-3
solve for a,b,c
OpenStudy (anonymous):
i did that but i wasnt getting the answers that were shown
OpenStudy (anonymous):
can you show me what you got?
OpenStudy (anonymous):
x^3 +2x^2-35x
OpenStudy (amistre64):
35*3 is not 35 ...
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OpenStudy (anonymous):
you're missing a constant
can you write it in the form of
(x-a)(x-b)(x-c)=0?
OpenStudy (anonymous):
yea
OpenStudy (anonymous):
these are my choices
f(x) = x3 + 5x2 - 29x - 105
f(x) = x3 + 5x2 - 29x + 105
f(x) = x3 + 5x2 + 29x - 105
f(x) = x3 - 5x2 - 29x - 105
OpenStudy (anonymous):
i would ignore those for now
(x+7)(x-5)(x+3)=0
lets do this step by step
(x+7)(x-5)=x(x-5)+7(x-5)=???
OpenStudy (anonymous):
ok...?
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OpenStudy (anonymous):
solve this
(x+7)(x-5)=x(x-5)+7(x-5)=
OpenStudy (anonymous):
x2 - 5x + 7x + 21
x2 + 2x +21
OpenStudy (anonymous):
7(x-5)= 7x-35, not 7x+21
OpenStudy (anonymous):
jk i was doing 7(x+3)
OpenStudy (anonymous):
...
(x+7)(x-5)= x^2+2x-35
now we multiply x+3 to this
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OpenStudy (anonymous):
(x^2+2x-35)(x+3)=???
(x^2+2x-35)(x+3)=x(x^2+2x-35)+3(x^2+2x-35)=???
OpenStudy (anonymous):
ah i got it!!
OpenStudy (anonymous):
thank you!!!
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