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OpenStudy (anonymous):
Write a polynomial equation with integer coefficients that has the given roots. x=-8 x=7
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TheSmartOne (thesmartone):
so the roots have to be -8 and 7 ?
OpenStudy (anonymous):
yes
TheSmartOne (thesmartone):
To find the equation it should be in the form
(x-_)(x-_)=0
We have to plug in -8 and 7 into it.
OpenStudy (anonymous):
ok lets see
TheSmartOne (thesmartone):
And then we multiply it out to get the equation.
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OpenStudy (anonymous):
so it s(x-8)(x-7)=0 ?
TheSmartOne (thesmartone):
So
(x-(-8))(x-7)=0
TheSmartOne (thesmartone):
x-(-8)=x+8
TheSmartOne (thesmartone):
@beautii
OpenStudy (anonymous):
my apology , I am a bit confused
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TheSmartOne (thesmartone):
Because x+8=0
then x=-8
OpenStudy (anonymous):
the polynomial equation is x-(-8)=x+8 ?
OpenStudy (anonymous):
x+8=0
x=-8
what about x=7 ?
TheSmartOne (thesmartone):
so then to make x=7
just subtract 7
we get
x-7=0
TheSmartOne (thesmartone):
so now we multiply
(x-7)(x+8)=0
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TheSmartOne (thesmartone):
@beautii
OpenStudy (anonymous):
thanks so much
TheSmartOne (thesmartone):
No problem
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